Atkin-Lehner |
2- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688o |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-316915712 = -1 · 214 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 0 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[4:24:1] |
Generators of the group modulo torsion |
j |
-12869712/19343 |
j-invariant |
L |
6.0611041872201 |
L(r)(E,1)/r! |
Ω |
1.5441964781463 |
Real period |
R |
1.9625430678644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42688h1 10672a1 |
Quadratic twists by: -4 8 |