Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cf |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
241473960000 = 26 · 36 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40950,3175848] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-180:1] |
Generators of the group modulo torsion |
j |
118663201655107264/3773030625 |
j-invariant |
L |
7.5817120316498 |
L(r)(E,1)/r! |
Ω |
0.92213606035286 |
Real period |
R |
0.68515847404355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680br1 87360dw2 |
Quadratic twists by: -4 8 |