Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350fj |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
696320 |
Modular degree for the optimal curve |
Δ |
402339656250000 = 24 · 37 · 59 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-412430,102045197] |
[a1,a2,a3,a4,a6] |
Generators |
[702:64895:8] |
Generators of the group modulo torsion |
j |
5448988635173/282576 |
j-invariant |
L |
9.0258861819875 |
L(r)(E,1)/r! |
Ω |
0.50296593472539 |
Real period |
R |
2.2431653785776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450bm1 91350cw1 |
Quadratic twists by: -3 5 |