Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dl |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
1152393344256 = 28 · 3 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,61719] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:6814:27] |
Generators of the group modulo torsion |
j |
90112/21 |
j-invariant |
L |
9.2014927403969 |
L(r)(E,1)/r! |
Ω |
0.81652934444551 |
Real period |
R |
5.6345144255916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164g1 121968gk1 40656cp1 |
Quadratic twists by: -4 -3 -11 |