Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056ba |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-614771555328 = -1 · 210 · 36 · 77 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,37730] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:196:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
3.0214513909622 |
L(r)(E,1)/r! |
Ω |
0.73609524887022 |
Real period |
R |
0.51308770767091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3528ba1 28224gj1 784e1 1008f1 |
Quadratic twists by: -4 8 -3 -7 |