Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408h |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-549007310592 = -1 · 28 · 36 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1719,-44982] |
[a1,a2,a3,a4,a6] |
Generators |
[7922:249067:8] |
Generators of the group modulo torsion |
j |
-3010120272/2941783 |
j-invariant |
L |
9.1094349057155 |
L(r)(E,1)/r! |
Ω |
0.35657506210571 |
Real period |
R |
6.3867582613442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10712b1 |
Quadratic twists by: -3 |