Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440el |
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 |
[62:-52:1] [-23:783:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
7.947730042199 |
L(r)(E,1)/r! |
Ω |
1.4406422151751 |
Real period |
R |
2.7583982887914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440br1 9360bv1 4160p1 |
Quadratic twists by: -4 8 -3 |