Atkin-Lehner |
2- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820h |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-1904690250400000 = -1 · 28 · 55 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18636,-2310664] |
[a1,a2,a3,a4,a6] |
j |
-69291952/184375 |
j-invariant |
L |
4.5555229526072 |
L(r)(E,1)/r! |
Ω |
0.18981345642221 |
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 |
57820l1 |
Quadratic twists by: -7 |