Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550bd |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
9562500 = 22 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,117] |
[a1,a2,a3,a4,a6] |
j |
1771561/612 |
j-invariant |
L |
4.2287299591203 |
L(r)(E,1)/r! |
Ω |
2.1143649795602 |
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 |
20400ch1 81600bb1 7650o1 102a1 |
Quadratic twists by: -4 8 -3 5 |