Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596bi |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
3616845042158975952 = 24 · 310 · 139 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2320032,-1357075915] |
[a1,a2,a3,a4,a6] |
Generators |
[-6766:2907:8] |
Generators of the group modulo torsion |
j |
11165237248/29241 |
j-invariant |
L |
2.3785563787354 |
L(r)(E,1)/r! |
Ω |
0.12234730787168 |
Real period |
R |
4.8602547590328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532j1 115596bd1 |
Quadratic twists by: -3 13 |