Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2650j |
Isogeny class |
Conductor |
2650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-8281250000000000 = -1 · 210 · 516 · 53 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30645,3853147] |
[a1,a2,a3,a4,a6] |
j |
203702260843719/530000000000 |
j-invariant |
L |
5.7974021021014 |
L(r)(E,1)/r! |
Ω |
0.28987010510507 |
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 |
21200m1 84800z1 23850y1 530c1 |
Quadratic twists by: -4 8 -3 5 |