Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561b |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
208159497 = 33 · 74 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152,-150] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:21:1] |
Generators of the group modulo torsion |
j |
14295828483/7709611 |
j-invariant |
L |
2.18872539443 |
L(r)(E,1)/r! |
Ω |
1.4488719417307 |
Real period |
R |
0.7553205122516 |
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 |
15561a1 108927b1 |
Quadratic twists by: -3 -7 |