Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992i |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
14319616 = 215 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 -1 2 -5 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-616,-6092] |
[a1,a2,a3,a4,a6] |
j |
6321363049/3496 |
j-invariant |
L |
1.9164171661056 |
L(r)(E,1)/r! |
Ω |
0.9582085830528 |
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 |
874c1 27968bu1 62928ba1 |
Quadratic twists by: -4 8 -3 |