Atkin-Lehner |
3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26505f |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-662652962775 = -1 · 38 · 52 · 194 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,225,-39200] |
[a1,a2,a3,a4,a6] |
Generators |
[294:917:8] |
Generators of the group modulo torsion |
j |
1723683599/908988975 |
j-invariant |
L |
5.6028502604311 |
L(r)(E,1)/r! |
Ω |
0.42508895292054 |
Real period |
R |
3.2951046021881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835f1 |
Quadratic twists by: -3 |