Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550bc |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-63750000000 = -1 · 27 · 3 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,612,-10608] |
[a1,a2,a3,a4,a6] |
j |
2595575/6528 |
j-invariant |
L |
3.9900489836997 |
L(r)(E,1)/r! |
Ω |
0.57000699767138 |
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 |
20400cd1 81600x1 7650m1 2550e1 |
Quadratic twists by: -4 8 -3 5 |