Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992p |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
57278464 = 217 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 -3 2 5 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[0:32:1] |
Generators of the group modulo torsion |
j |
192100033/13984 |
j-invariant |
L |
2.9826934222397 |
L(r)(E,1)/r! |
Ω |
1.9413000946957 |
Real period |
R |
0.38411029680437 |
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 |
874d1 27968bc1 62928bs1 |
Quadratic twists by: -4 8 -3 |