Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416bo |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-123209265355997184 = -1 · 214 · 310 · 73 · 135 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71328,-18411104] |
[a1,a2,a3,a4,a6] |
j |
-3360132358144/10315633419 |
j-invariant |
L |
2.4279491605972 |
L(r)(E,1)/r! |
Ω |
0.13488606449413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fw1 3276g1 17472v1 |
Quadratic twists by: -4 8 -3 |