Atkin-Lehner |
2- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19024d |
Isogeny class |
Conductor |
19024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-131065315328 = -1 · 217 · 293 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 -5 -1 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8584,309488] |
[a1,a2,a3,a4,a6] |
Generators |
[116:928:1] |
Generators of the group modulo torsion |
j |
-17079827632777/31998368 |
j-invariant |
L |
1.3508132529229 |
L(r)(E,1)/r! |
Ω |
1.0410221473531 |
Real period |
R |
0.1081319656485 |
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 |
2378c1 76096f1 |
Quadratic twists by: -4 8 |