Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350q |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1748096437500 = -1 · 22 · 39 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2742,-83584] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1048:1] |
Generators of the group modulo torsion |
j |
-7414875/5684 |
j-invariant |
L |
3.8599270312507 |
L(r)(E,1)/r! |
Ω |
0.31928671558414 |
Real period |
R |
3.0223047451511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350dj1 3654o1 |
Quadratic twists by: -3 5 |