Atkin-Lehner |
2+ 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024d |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1007616 |
Modular degree for the optimal curve |
Δ |
40166540288 = 210 · 74 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13075048,18201914496] |
[a1,a2,a3,a4,a6] |
j |
241409115237483979694500/39225137 |
j-invariant |
L |
3.6751440343873 |
L(r)(E,1)/r! |
Ω |
0.45939300493914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29512g1 |
Quadratic twists by: -4 |