Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360q |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-531198455828480 = -1 · 212 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,1520495] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:920:1] |
Generators of the group modulo torsion |
j |
-7744/5 |
j-invariant |
L |
4.6461199009532 |
L(r)(E,1)/r! |
Ω |
0.48098691299119 |
Real period |
R |
4.8297778748903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19360r1 38720dm1 96800n1 19360c1 |
Quadratic twists by: -4 8 5 -11 |