Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624m |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-114588430704 = -1 · 24 · 36 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6879,220205] |
[a1,a2,a3,a4,a6] |
Generators |
[92:605:1] |
Generators of the group modulo torsion |
j |
-3086399425792/9824111 |
j-invariant |
L |
7.8547367438242 |
L(r)(E,1)/r! |
Ω |
1.0560649826535 |
Real period |
R |
1.4875479955898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312e1 10736c1 |
Quadratic twists by: -4 -3 |