Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1012c |
Isogeny class |
Conductor |
1012 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-5387888 = -1 · 24 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 1 -4 2 11- 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10,109] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
-7626496/336743 |
j-invariant |
L |
2.4592324467797 |
L(r)(E,1)/r! |
Ω |
2.0040351733518 |
Real period |
R |
0.30678509033684 |
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 |
4048e1 16192a1 9108n1 25300k1 |
Quadratic twists by: -4 8 -3 5 |