Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22496a |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
1 |
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 |
[-142:698:1] |
Generators of the group modulo torsion |
j |
1463604443236872/475630201063 |
j-invariant |
L |
2.766419403321 |
L(r)(E,1)/r! |
Ω |
0.51271725181407 |
Real period |
R |
5.3956042897582 |
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 |
22496j1 44992s1 |
Quadratic twists by: -4 8 |