Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cu |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-307385777664000 = -1 · 212 · 36 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132888,18664688] |
[a1,a2,a3,a4,a6] |
j |
-738763264/875 |
j-invariant |
L |
2.1722969513811 |
L(r)(E,1)/r! |
Ω |
0.5430742393194 |
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 |
70560cw1 7840k1 10080bt1 |
Quadratic twists by: -4 -3 -7 |