Atkin-Lehner |
2+ 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9430c |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3553525760000 = 218 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4718,-87628] |
[a1,a2,a3,a4,a6] |
j |
11618266732968169/3553525760000 |
j-invariant |
L |
1.1794932715396 |
L(r)(E,1)/r! |
Ω |
0.58974663576981 |
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 |
75440p1 84870bf1 47150g1 |
Quadratic twists by: -4 -3 5 |