Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624bu |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4007190528 = 213 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16885044003,-844503412304990] |
[a1,a2,a3,a4,a6] |
Generators |
[-973630248165:-184:12977875] |
Generators of the group modulo torsion |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
10.637970904924 |
L(r)(E,1)/r! |
Ω |
0.013244147397721 |
Real period |
R |
8.0322051491607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078j3 10736f3 |
Quadratic twists by: -4 -3 |