Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350bb |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-63799296000000000 = -1 · 224 · 3 · 59 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,92624,-5465602] |
[a1,a2,a3,a4,a6] |
j |
5624462465640719/4083154944000 |
j-invariant |
L |
3.1390579080016 |
L(r)(E,1)/r! |
Ω |
0.19619111664035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470z1 |
Quadratic twists by: 5 |