Atkin-Lehner |
11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20449g |
Isogeny class |
Conductor |
20449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1377144939510210299 = -1 · 1111 · 136 |
Discriminant |
Eigenvalues |
-2 -1 -1 -2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-211306,67787488] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:10224:1] [422:7320:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
3.0132150866708 |
L(r)(E,1)/r! |
Ω |
0.24398474799608 |
Real period |
R |
1.5437517669757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859a2 121d2 |
Quadratic twists by: -11 13 |