Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104s |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
1096392704 = 213 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -2 1 1 11+ 5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2200,-40428] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:2:1] |
Generators of the group modulo torsion |
j |
23639903/22 |
j-invariant |
L |
4.5241297551516 |
L(r)(E,1)/r! |
Ω |
0.69711062088185 |
Real period |
R |
1.6224576171056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638k1 93104bg1 |
Quadratic twists by: -4 -23 |