Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600v |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
108781250000 = 24 · 59 · 592 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1533,17312] |
[a1,a2,a3,a4,a6] |
Generators |
[19516:521550:4913] |
Generators of the group modulo torsion |
j |
1594753024/435125 |
j-invariant |
L |
7.6032689438534 |
L(r)(E,1)/r! |
Ω |
0.98570707852618 |
Real period |
R |
7.7135176458525 |
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 |
5900b1 94400cc1 4720c1 |
Quadratic twists by: -4 8 5 |