Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708i |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
21678626570832 = 24 · 36 · 7 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17073,-834624] |
[a1,a2,a3,a4,a6] |
Generators |
[465:9591:1] |
Generators of the group modulo torsion |
j |
34400019417088000/1354914160677 |
j-invariant |
L |
6.1726355101091 |
L(r)(E,1)/r! |
Ω |
0.41867102054942 |
Real period |
R |
4.9144676107179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
62832z1 47124s1 109956g1 |
Quadratic twists by: -4 -3 -7 |