Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120x |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-2974320 = -1 · 24 · 37 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,691] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-30118144/255 |
j-invariant |
L |
4.2767419064911 |
L(r)(E,1)/r! |
Ω |
2.548727579481 |
Real period |
R |
0.41949774673074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12240w1 48960ca1 2040e1 30600p1 |
Quadratic twists by: -4 8 -3 5 |