Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
95922o |
Isogeny class |
Conductor |
95922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2727936 |
Modular degree for the optimal curve |
Δ |
2609351340616635012 = 22 · 310 · 737 |
Discriminant |
Eigenvalues |
2- 3- -4 0 2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360707,-30119425] |
[a1,a2,a3,a4,a6] |
Generators |
[-63205:628388:125] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
6.7406484954475 |
L(r)(E,1)/r! |
Ω |
0.20533241988446 |
Real period |
R |
4.1034974567739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31974j1 1314g1 |
Quadratic twists by: -3 73 |