Atkin-Lehner |
5+ 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93275g |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
118275323359375 = 57 · 75 · 133 · 41 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ -4 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-370567,-86731534] |
[a1,a2,a3,a4,a6] |
Generators |
[-3391891662:2073919856:9663597] |
Generators of the group modulo torsion |
j |
360167540469023169/7569620695 |
j-invariant |
L |
13.154891514341 |
L(r)(E,1)/r! |
Ω |
0.19350106604737 |
Real period |
R |
11.33059347934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18655d1 |
Quadratic twists by: 5 |