Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130dp |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
188032054571827200 = 218 · 32 · 52 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-666450,-208424700] |
[a1,a2,a3,a4,a6] |
Generators |
[-12660:33770:27] |
Generators of the group modulo torsion |
j |
278251958386716049/1598246092800 |
j-invariant |
L |
13.327211608848 |
L(r)(E,1)/r! |
Ω |
0.16715057601184 |
Real period |
R |
1.1073857186272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590o1 |
Quadratic twists by: -7 |