Atkin-Lehner |
3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bn |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
784529296875 = 36 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -3 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4617,-111834] |
[a1,a2,a3,a4,a6] |
Generators |
[-93782:218516:2197] |
Generators of the group modulo torsion |
j |
7645373/551 |
j-invariant |
L |
7.5730417194358 |
L(r)(E,1)/r! |
Ω |
0.58180201325297 |
Real period |
R |
6.5082637232217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997960297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775i1 123975bp1 |
Quadratic twists by: -3 5 |