Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bj |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2619526698041344 = -1 · 216 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -2 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38081,-3786977] |
[a1,a2,a3,a4,a6] |
j |
-114244/49 |
j-invariant |
L |
1.33904652395 |
L(r)(E,1)/r! |
Ω |
0.1673808106752 |
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 |
75712cc1 9464h1 75712n1 |
Quadratic twists by: -4 8 13 |