Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650i |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
5252000000 = 28 · 56 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-551,3498] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:96:1] [-106:787:8] |
Generators of the group modulo torsion |
j |
1180932193/336128 |
j-invariant |
L |
4.6531320565712 |
L(r)(E,1)/r! |
Ω |
1.2658100932064 |
Real period |
R |
3.6760111817418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2626e1 |
Quadratic twists by: 5 |