Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440ec |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
174680064000 = 214 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175548,28310128] |
[a1,a2,a3,a4,a6] |
j |
50091484483024/14625 |
j-invariant |
L |
1.6299413561216 |
L(r)(E,1)/r! |
Ω |
0.81497067805903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bi1 9360q1 12480db1 |
Quadratic twists by: -4 8 -3 |