Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610bd |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
218643750 = 2 · 32 · 55 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2864,58736] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-8:1] |
Generators of the group modulo torsion |
j |
15365194032721/1293750 |
j-invariant |
L |
5.1998108704939 |
L(r)(E,1)/r! |
Ω |
1.6920690617448 |
Real period |
R |
1.5365244185311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610cs1 |
Quadratic twists by: 13 |