Atkin-Lehner |
2- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51262j |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-2932585797415552 = -1 · 27 · 199 · 71 |
Discriminant |
Eigenvalues |
2- -2 4 -1 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13169,2540793] |
[a1,a2,a3,a4,a6] |
j |
5368567751/62334592 |
j-invariant |
L |
4.6627862736346 |
L(r)(E,1)/r! |
Ω |
0.33305616248388 |
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 |
2698b1 |
Quadratic twists by: -19 |