Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22496j |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
243522662944256 = 29 · 193 · 375 |
Discriminant |
Eigenvalues |
2- 0 -1 4 3 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18923,-663426] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:266:1] |
Generators of the group modulo torsion |
j |
1463604443236872/475630201063 |
j-invariant |
L |
5.3892210334176 |
L(r)(E,1)/r! |
Ω |
0.41758090237622 |
Real period |
R |
2.1509688313293 |
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 |
22496a1 44992i1 |
Quadratic twists by: -4 8 |