Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248y |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-4070486798629888 = -1 · 210 · 77 · 136 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,3069184] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1568:1] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
2.8666012333873 |
L(r)(E,1)/r! |
Ω |
0.35360871967885 |
Real period |
R |
2.0266760078058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9464g1 392d1 |
Quadratic twists by: -7 13 |