Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15946g |
Isogeny class |
Conductor |
15946 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
14957348 = 22 · 72 · 17 · 672 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[16:48:1] |
Generators of the group modulo torsion |
j |
26383748833/14957348 |
j-invariant |
L |
6.09686101559 |
L(r)(E,1)/r! |
Ω |
1.8359236554154 |
Real period |
R |
1.6604342445303 |
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 |
127568t1 111622l1 |
Quadratic twists by: -4 -7 |