Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680c |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-944504995840 = -1 · 215 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,82879] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:392:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
2.6042235354312 |
L(r)(E,1)/r! |
Ω |
0.8392497457479 |
Real period |
R |
0.25858646851207 |
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 |
15680a1 7840g1 78400h1 15680bt1 |
Quadratic twists by: -4 8 5 -7 |