Atkin-Lehner |
2- 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048y |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4371296256 = -1 · 212 · 32 · 19 · 792 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3797,-91389] |
[a1,a2,a3,a4,a6] |
j |
-1478427148288/1067211 |
j-invariant |
L |
1.2163010039655 |
L(r)(E,1)/r! |
Ω |
0.30407525340148 |
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 |
4503c1 |
Quadratic twists by: -4 |