Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bz |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
776355840 = 214 · 36 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,7504] |
[a1,a2,a3,a4,a6] |
Generators |
[5:63:1] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
6.2243990522877 |
L(r)(E,1)/r! |
Ω |
1.5965444243814 |
Real period |
R |
1.9493347498609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ev1 4680e1 4160c1 |
Quadratic twists by: -4 8 -3 |