Atkin-Lehner |
11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9251a |
Isogeny class |
Conductor |
9251 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-95796890670371 = -1 · 115 · 296 |
Discriminant |
Eigenvalues |
2 1 1 -2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8690,-567683] |
[a1,a2,a3,a4,a6] |
Generators |
[61972983759160:-4254967674544479:13144256000] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
9.727616822553 |
L(r)(E,1)/r! |
Ω |
0.23568625097565 |
Real period |
R |
20.636793156759 |
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 |
83259m2 101761i2 11a1 |
Quadratic twists by: -3 -11 29 |