Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37856s |
Isogeny class |
Conductor |
37856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2162410432 = -1 · 26 · 7 · 136 |
Discriminant |
Eigenvalues |
2- -2 0 7- 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,282,-1208] |
[a1,a2,a3,a4,a6] |
Generators |
[293:5032:1] |
Generators of the group modulo torsion |
j |
8000/7 |
j-invariant |
L |
4.6004166710708 |
L(r)(E,1)/r! |
Ω |
0.80589053112877 |
Real period |
R |
5.7084883037731 |
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 |
37856l1 75712cu1 224a1 |
Quadratic twists by: -4 8 13 |