Atkin-Lehner |
2+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470i |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
8.1079087198801E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278617117,1789859407869] |
[a1,a2,a3,a4,a6] |
Generators |
[9153:76641:1] |
Generators of the group modulo torsion |
j |
2391922459095853674067216677721/81079087198801362944000 |
j-invariant |
L |
5.5697684204625 |
L(r)(E,1)/r! |
Ω |
0.10115675061887 |
Real period |
R |
0.45883973687593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bn1 77350x1 108290f1 |
Quadratic twists by: -4 5 -7 |