Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320n |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2222899200 = -1 · 214 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,2317] |
[a1,a2,a3,a4,a6] |
Generators |
[4:45:1] |
Generators of the group modulo torsion |
j |
-4194304/135675 |
j-invariant |
L |
5.4817221908522 |
L(r)(E,1)/r! |
Ω |
1.2189300347936 |
Real period |
R |
1.1242897529714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64320cn1 4020a1 |
Quadratic twists by: -4 8 |