Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3971b |
Isogeny class |
Conductor |
3971 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-517504691 = -1 · 11 · 196 |
Discriminant |
Eigenvalues |
2 1 1 -2 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-120,-1247] |
[a1,a2,a3,a4,a6] |
Generators |
[10346:372187:8] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
7.5139165566745 |
L(r)(E,1)/r! |
Ω |
0.66935096951503 |
Real period |
R |
5.6128375836362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536u1 35739r1 99275e1 43681m1 |
Quadratic twists by: -4 -3 5 -11 |