Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642k |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1394042530734 = 2 · 39 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7669,-255401] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:53:1] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
1.9041764872537 |
L(r)(E,1)/r! |
Ω |
0.51103284602844 |
Real period |
R |
1.8630666326561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136cr1 37926bz1 1806g1 |
Quadratic twists by: -4 -3 -7 |