Atkin-Lehner |
2- 3+ 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290t |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1603584 |
Modular degree for the optimal curve |
Δ |
-21876646560399360 = -1 · 218 · 33 · 5 · 234 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-270158,-54446243] |
[a1,a2,a3,a4,a6] |
j |
-80762906218916069667/810246168903680 |
j-invariant |
L |
3.7671070394233 |
L(r)(E,1)/r! |
Ω |
0.10464185982698 |
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 |
97290b1 |
Quadratic twists by: -3 |