Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66600p |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
2697300000000 = 28 · 36 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 3 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6300,-175500] |
[a1,a2,a3,a4,a6] |
j |
9483264/925 |
j-invariant |
L |
4.3138932992174 |
L(r)(E,1)/r! |
Ω |
0.5392366612329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7400g1 13320q1 |
Quadratic twists by: -3 5 |