Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320bc |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
97763328 |
Modular degree for the optimal curve |
Δ |
4.5109579697701E+28 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33774139000,2389013059755648] |
[a1,a2,a3,a4,a6] |
j |
392361552237381907701748/4154116321200125 |
j-invariant |
L |
1.7576207050337 |
L(r)(E,1)/r! |
Ω |
0.032548531580362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bk1 47320l1 |
Quadratic twists by: -4 13 |