Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656cn |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-2.972895550784E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,868608,-768528972] |
[a1,a2,a3,a4,a6] |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
3.674977243447 |
L(r)(E,1)/r! |
Ω |
0.087499458178551 |
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 |
5082w1 121968el1 40656di1 |
Quadratic twists by: -4 -3 -11 |