Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450s |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1801500312500 = -1 · 22 · 57 · 78 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3037,5781] |
[a1,a2,a3,a4,a6] |
j |
34391/20 |
j-invariant |
L |
2.0158152218771 |
L(r)(E,1)/r! |
Ω |
0.50395380546928 |
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 |
19600bt1 78400d1 22050bb1 490a1 |
Quadratic twists by: -4 8 -3 5 |