Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440en |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1987470950400000 = 226 · 36 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484428,-129757552] |
[a1,a2,a3,a4,a6] |
j |
65787589563409/10400000 |
j-invariant |
L |
3.2573833347451 |
L(r)(E,1)/r! |
Ω |
0.18096574082319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bx1 9360by1 4160q1 |
Quadratic twists by: -4 8 -3 |