Atkin-Lehner |
2- 3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65412f |
Isogeny class |
Conductor |
65412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
48674829567744 = 28 · 36 · 232 · 793 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12639,-431786] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:158:1] |
Generators of the group modulo torsion |
j |
1196449465552/260817631 |
j-invariant |
L |
4.3839668735713 |
L(r)(E,1)/r! |
Ω |
0.45724974882152 |
Real period |
R |
1.5979476149348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7268c1 |
Quadratic twists by: -3 |