Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320bg |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-4.0144392826429E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3957360,3181060492] |
[a1,a2,a3,a4,a6] |
j |
-693346671296498/40610171875 |
j-invariant |
L |
1.9940682187126 |
L(r)(E,1)/r! |
Ω |
0.16617235158888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640w1 3640a1 |
Quadratic twists by: -4 13 |