Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134v |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2113536 |
Modular degree for the optimal curve |
Δ |
-56113450596422912 = -1 · 28 · 710 · 114 · 53 |
Discriminant |
Eigenvalues |
2- -1 4 7- 11- -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3163686,-2167247069] |
[a1,a2,a3,a4,a6] |
j |
-29765665614882148561/476956460288 |
j-invariant |
L |
3.6224364193278 |
L(r)(E,1)/r! |
Ω |
0.05660056906076 |
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 |
8162f1 |
Quadratic twists by: -7 |