Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bz |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
34248420000000 = 28 · 310 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8175,-40750] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:450:1] [-85:200:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
9.2231472167238 |
L(r)(E,1)/r! |
Ω |
0.54180285633289 |
Real period |
R |
1.0639417904642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400be1 17400b1 10440j1 |
Quadratic twists by: -4 -3 5 |