Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6992d |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
656 |
Modular degree for the optimal curve |
Δ |
6992 = 24 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146,679] |
[a1,a2,a3,a4,a6] |
j |
21511084032/437 |
j-invariant |
L |
0.96791409765715 |
L(r)(E,1)/r! |
Ω |
3.8716563906286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3496d1 27968ca1 62928c1 |
Quadratic twists by: -4 8 -3 |