Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561d |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-74768099679 = -1 · 39 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,13088] |
[a1,a2,a3,a4,a6] |
Generators |
[4:115:1] |
Generators of the group modulo torsion |
j |
697864103/102562551 |
j-invariant |
L |
3.0509322817503 |
L(r)(E,1)/r! |
Ω |
0.83931496718556 |
Real period |
R |
3.6350266598735 |
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 |
5187d1 108927w1 |
Quadratic twists by: -3 -7 |