Atkin-Lehner |
2- 5- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
95120k |
Isogeny class |
Conductor |
95120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
882713600000000 = 216 · 58 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24827,-473046] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:928:1] [-57:870:1] |
Generators of the group modulo torsion |
j |
413177341426641/215506250000 |
j-invariant |
L |
11.757451533895 |
L(r)(E,1)/r! |
Ω |
0.40283033868968 |
Real period |
R |
1.8241940845263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11890e1 |
Quadratic twists by: -4 |