Atkin-Lehner |
2+ 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984n |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
8202240 |
Modular degree for the optimal curve |
Δ |
2.0067065291747E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43286856,107463976596] |
[a1,a2,a3,a4,a6] |
Generators |
[4362:40764:1] [-4668:455886:1] |
Generators of the group modulo torsion |
j |
4379876855161576389200018/97983717244856691597 |
j-invariant |
L |
10.008187631618 |
L(r)(E,1)/r! |
Ω |
0.10028454776146 |
Real period |
R |
0.10395614959963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31992a1 |
Quadratic twists by: -4 |