Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300h |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
805932500000000 = 28 · 510 · 193 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -6 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23333,-120463] |
[a1,a2,a3,a4,a6] |
j |
561971200/322373 |
j-invariant |
L |
5.0317818041557 |
L(r)(E,1)/r! |
Ω |
0.41931515088052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89300k1 |
Quadratic twists by: 5 |