Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bz |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
165368283393600 = 26 · 316 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178617,29049176] |
[a1,a2,a3,a4,a6] |
j |
13507798771700416/3544416225 |
j-invariant |
L |
1.1201609720707 |
L(r)(E,1)/r! |
Ω |
0.56008048603536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080cd1 20160dw2 3360c1 50400bs1 |
Quadratic twists by: -4 8 -3 5 |