Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12628c |
Isogeny class |
Conductor |
12628 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-11365604096 = -1 · 28 · 74 · 11 · 412 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,443,3521] |
[a1,a2,a3,a4,a6] |
Generators |
[67:574:1] |
Generators of the group modulo torsion |
j |
37472632832/44396891 |
j-invariant |
L |
2.9319595474911 |
L(r)(E,1)/r! |
Ω |
0.85200632305287 |
Real period |
R |
0.14338506398371 |
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 |
50512e1 113652q1 88396f1 |
Quadratic twists by: -4 -3 -7 |