Atkin-Lehner |
2- 3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810n |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
8288993280 = 220 · 3 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-506,-121] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:59:1] |
Generators of the group modulo torsion |
j |
14329429649569/8288993280 |
j-invariant |
L |
5.65806142073 |
L(r)(E,1)/r! |
Ω |
1.1087112484848 |
Real period |
R |
1.0206555455196 |
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 |
126480bs1 47430l1 79050t1 |
Quadratic twists by: -4 -3 5 |