Atkin-Lehner |
5+ 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93275c |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
336384 |
Modular degree for the optimal curve |
Δ |
-6369808046875 = -1 · 57 · 7 · 132 · 413 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ -2 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9758,387144] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:-800:1] [63:162:1] |
Generators of the group modulo torsion |
j |
-6577042272256/407667715 |
j-invariant |
L |
3.6082124765711 |
L(r)(E,1)/r! |
Ω |
0.74142803782675 |
Real period |
R |
0.40554761583424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18655h1 |
Quadratic twists by: 5 |