Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
47712l |
Isogeny class |
Conductor |
47712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-95424 = -1 · 26 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,-12] |
[a1,a2,a3,a4,a6] |
j |
314432/1491 |
j-invariant |
L |
3.4045338304651 |
L(r)(E,1)/r! |
Ω |
1.7022669156161 |
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 |
47712a1 95424ca1 |
Quadratic twists by: -4 8 |