Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200r |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2080000000000 = -1 · 214 · 510 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10208,-406412] |
[a1,a2,a3,a4,a6] |
j |
-2941225/52 |
j-invariant |
L |
0.47446613783191 |
L(r)(E,1)/r! |
Ω |
0.23723306891595 |
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 |
650i1 20800dd1 46800cz1 5200bi1 |
Quadratic twists by: -4 8 -3 5 |