Atkin-Lehner |
2- 3- 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614bh |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2424832 |
Modular degree for the optimal curve |
Δ |
2258129361177491472 = 24 · 37 · 11 · 178 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1007456,-382186893] |
[a1,a2,a3,a4,a6] |
Generators |
[8807:816441:1] |
Generators of the group modulo torsion |
j |
155122231185203583673/3097571140161168 |
j-invariant |
L |
8.1246787707021 |
L(r)(E,1)/r! |
Ω |
0.15087598072011 |
Real period |
R |
3.3656279857724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001505 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32538d1 |
Quadratic twists by: -3 |