Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248d |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2235714874147465984 = -1 · 28 · 77 · 139 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563108,177842756] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:12446:1] [-754:13182:1] |
Generators of the group modulo torsion |
j |
-135834624/15379 |
j-invariant |
L |
9.2106925168181 |
L(r)(E,1)/r! |
Ω |
0.25260513686584 |
Real period |
R |
0.56973136952357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464c1 5096h1 |
Quadratic twists by: -7 13 |