Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440br |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
630789120 = 210 · 36 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,-392312] |
[a1,a2,a3,a4,a6] |
Generators |
[7524:13091:64] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
6.337792927764 |
L(r)(E,1)/r! |
Ω |
0.47590336387082 |
Real period |
R |
6.6586973416356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440el1 2340g1 4160h1 |
Quadratic twists by: -4 8 -3 |