Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104i |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
8144192 = 26 · 74 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -3 1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,412] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:14:1] [2:14:1] |
Generators of the group modulo torsion |
j |
1075648/53 |
j-invariant |
L |
6.2286920690246 |
L(r)(E,1)/r! |
Ω |
2.3028810510652 |
Real period |
R |
0.45078982448562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83104h1 83104k1 |
Quadratic twists by: -4 -7 |