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 |
Δ |
187587146228969124 = 22 · 38 · 112 · 174 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16041236,-24724883469] |
[a1,a2,a3,a4,a6] |
Generators |
[121150:14261751:8] |
Generators of the group modulo torsion |
j |
626195068616817826265593/257321188242756 |
j-invariant |
L |
8.1246787707021 |
L(r)(E,1)/r! |
Ω |
0.075437990360057 |
Real period |
R |
6.7312559715448 |
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 |
32538d2 |
Quadratic twists by: -3 |