Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550es |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
56643300000000 = 28 · 37 · 58 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92255,10802247] |
[a1,a2,a3,a4,a6] |
j |
7623273198241/4972800 |
j-invariant |
L |
4.9677307644561 |
L(r)(E,1)/r! |
Ω |
0.62096642433773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850i1 23310i1 |
Quadratic twists by: -3 5 |