Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49700h |
Isogeny class |
Conductor |
49700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-705740000000 = -1 · 28 · 57 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-56137] |
[a1,a2,a3,a4,a6] |
j |
-268435456/176435 |
j-invariant |
L |
4.0942565141437 |
L(r)(E,1)/r! |
Ω |
0.34118804290602 |
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 |
9940c1 |
Quadratic twists by: 5 |