Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100i |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
7831296 |
Modular degree for the optimal curve |
Δ |
-6.8109019662635E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 3 -3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19052200,-32253873500] |
[a1,a2,a3,a4,a6] |
Generators |
[37180:-7117250:1] |
Generators of the group modulo torsion |
j |
-191204943430809083904/1702725491565875 |
j-invariant |
L |
3.7508880362349 |
L(r)(E,1)/r! |
Ω |
0.036112081627007 |
Real period |
R |
0.39343921999618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620c1 |
Quadratic twists by: 5 |