Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496p |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
-179624610816 = -1 · 210 · 3 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 5 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,60348] |
[a1,a2,a3,a4,a6] |
j |
-19307236/1491 |
j-invariant |
L |
3.9757615768258 |
L(r)(E,1)/r! |
Ω |
0.99394037616619 |
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 |
11928l1 |
Quadratic twists by: -7 |