Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24642k |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-287136863712 = -1 · 25 · 311 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -3 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756,27184] |
[a1,a2,a3,a4,a6] |
Generators |
[65:467:1] |
Generators of the group modulo torsion |
j |
-1295029/7776 |
j-invariant |
L |
5.0598345053609 |
L(r)(E,1)/r! |
Ω |
0.84110127947869 |
Real period |
R |
1.5039314018453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214i1 24642u1 |
Quadratic twists by: -3 37 |