Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bj |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-52031250 = -1 · 2 · 32 · 57 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37,-333] |
[a1,a2,a3,a4,a6] |
j |
357911/3330 |
j-invariant |
L |
3.9506432172948 |
L(r)(E,1)/r! |
Ω |
0.98766080432371 |
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 |
44400bf1 16650u1 1110a1 |
Quadratic twists by: -4 -3 5 |