Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ip |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
5287680000000000 = 217 · 35 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180833,29330463] |
[a1,a2,a3,a4,a6] |
j |
510915650/4131 |
j-invariant |
L |
4.3203305419715 |
L(r)(E,1)/r! |
Ω |
0.43203305454568 |
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 |
81600y1 20400g1 81600gy1 |
Quadratic twists by: -4 8 5 |