Atkin-Lehner |
2+ 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950n |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
730080 |
Modular degree for the optimal curve |
Δ |
4996875000 = 23 · 3 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1468200,684129000] |
[a1,a2,a3,a4,a6] |
j |
896024322760690345/12792 |
j-invariant |
L |
0.69589538112139 |
L(r)(E,1)/r! |
Ω |
0.69589538077602 |
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 |
79950bw1 |
Quadratic twists by: 5 |