Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cl |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
-49424013000000000 = -1 · 29 · 313 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1503408,709097688] |
[a1,a2,a3,a4,a6] |
Generators |
[618:4050:1] |
Generators of the group modulo torsion |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
7.9796871931274 |
L(r)(E,1)/r! |
Ω |
0.34380959697756 |
Real period |
R |
0.44633868370488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400k1 14880a1 |
Quadratic twists by: -4 5 |