Atkin-Lehner |
2+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48664a |
Isogeny class |
Conductor |
48664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
17129728 = 28 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199,-1062] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:165:64] |
Generators of the group modulo torsion |
j |
3404418768/66913 |
j-invariant |
L |
5.8957816185052 |
L(r)(E,1)/r! |
Ω |
1.2726381453697 |
Real period |
R |
4.6327242664872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328f1 |
Quadratic twists by: -4 |