Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440by |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3179953520640 = 226 · 36 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3852,33264] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:2115:8] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
6.3984937373117 |
L(r)(E,1)/r! |
Ω |
0.70549024392205 |
Real period |
R |
4.534785415131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440eu1 1170c1 4160a1 |
Quadratic twists by: -4 8 -3 |