Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410r |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-64524800 = -1 · 29 · 52 · 712 |
Discriminant |
Eigenvalues |
2- -1 5- -4 5 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19630,-1066773] |
[a1,a2,a3,a4,a6] |
j |
-165946958207281/12800 |
j-invariant |
L |
3.63004385478 |
L(r)(E,1)/r! |
Ω |
0.20166910312349 |
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 |
50410q1 |
Quadratic twists by: -71 |