Atkin-Lehner |
2+ 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52808c |
Isogeny class |
Conductor |
52808 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
52864 |
Modular degree for the optimal curve |
Δ |
-795239474176 = -1 · 210 · 77 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 0 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2120,20028] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:84:1] |
Generators of the group modulo torsion |
j |
1028552505116/776601049 |
j-invariant |
L |
9.6085118907253 |
L(r)(E,1)/r! |
Ω |
0.57256666008902 |
Real period |
R |
1.1986766358392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105616f1 |
Quadratic twists by: -4 |