Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900w |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
1216700000000 = 28 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 1 -5 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14375,-661250] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:46:1] [-66:2:1] |
Generators of the group modulo torsion |
j |
270000 |
j-invariant |
L |
9.6371949935894 |
L(r)(E,1)/r! |
Ω |
0.43610827595389 |
Real period |
R |
3.683028399509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52900b1 52900x1 |
Quadratic twists by: 5 -23 |