Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056x |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
421733286955008 = 211 · 36 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26019,1278018] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1764:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
4.4809608792216 |
L(r)(E,1)/r! |
Ω |
0.50107441978659 |
Real period |
R |
1.1178381649202 |
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 |
3528k3 28224gd3 784c3 1008h3 |
Quadratic twists by: -4 8 -3 -7 |