Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13524c |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-101829444864 = -1 · 28 · 3 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -4 -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,-131928] |
[a1,a2,a3,a4,a6] |
Generators |
[82:98:1] |
Generators of the group modulo torsion |
j |
-8904784/69 |
j-invariant |
L |
3.3004569820386 |
L(r)(E,1)/r! |
Ω |
0.28494320200355 |
Real period |
R |
1.2869843529173 |
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 |
54096cf1 40572k1 13524i1 |
Quadratic twists by: -4 -3 -7 |