Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280cl |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
35909959680 = 215 · 32 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-840,1908] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:102:1] |
Generators of the group modulo torsion |
j |
16022066761/8767080 |
j-invariant |
L |
9.3878820803357 |
L(r)(E,1)/r! |
Ω |
1.0083757215715 |
Real period |
R |
2.3274762181652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910i1 |
Quadratic twists by: -4 |