Atkin-Lehner |
2+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
392c |
Isogeny class |
Conductor |
392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
38416 = 24 · 74 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 3 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,29] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
1.5286009201022 |
L(r)(E,1)/r! |
Ω |
3.5611188974392 |
Real period |
R |
0.071541228292107 |
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 |
784a1 3136a1 3528t1 9800x1 |
Quadratic twists by: -4 8 -3 5 |