Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056bu |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-12810148591258368 = -1 · 28 · 311 · 710 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57624,1142876] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
1.9620423790939 |
L(r)(E,1)/r! |
Ω |
0.24525529738674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1764h1 28224fr1 2352m1 7056bl1 |
Quadratic twists by: -4 8 -3 -7 |