Atkin-Lehner |
2- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96628h |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-6496107184 = -1 · 24 · 77 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-4292] |
[a1,a2,a3,a4,a6] |
Generators |
[23:49:1] [24:62:1] |
Generators of the group modulo torsion |
j |
-1048576/3451 |
j-invariant |
L |
7.3280615817124 |
L(r)(E,1)/r! |
Ω |
0.54658870997889 |
Real period |
R |
1.1172418810357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804f1 |
Quadratic twists by: -7 |