Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550cw |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
3350695950 = 2 · 33 · 52 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2585,51147] |
[a1,a2,a3,a4,a6] |
j |
2829072432555/4963994 |
j-invariant |
L |
5.6494087187615 |
L(r)(E,1)/r! |
Ω |
1.4123520704995 |
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 |
116550b2 116550z1 |
Quadratic twists by: -3 5 |