Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248w |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-4815385882779157504 = -1 · 210 · 78 · 138 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 2 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-466496,161666896] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:16268:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
4.4791254197723 |
L(r)(E,1)/r! |
Ω |
0.2281301198623 |
Real period |
R |
4.9085204349391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464h1 66248k1 |
Quadratic twists by: -7 13 |