Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640l |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
526400 = 26 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106,-456] |
[a1,a2,a3,a4,a6] |
Generators |
[12:12:1] |
Generators of the group modulo torsion |
j |
2077552576/8225 |
j-invariant |
L |
3.8059879055886 |
L(r)(E,1)/r! |
Ω |
1.4870844043436 |
Real period |
R |
2.5593623969554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640e1 105280o1 |
Quadratic twists by: -4 8 |