Atkin-Lehner |
2- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144h |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
7605163010816 = 28 · 73 · 175 · 61 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ -2 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12076,497292] |
[a1,a2,a3,a4,a6] |
Generators |
[179835:161038:3375] |
Generators of the group modulo torsion |
j |
760832442191824/29707668011 |
j-invariant |
L |
6.9878812707782 |
L(r)(E,1)/r! |
Ω |
0.73536221489355 |
Real period |
R |
9.5026384453198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036f1 |
Quadratic twists by: -4 |