Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bc |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-586951938696960 = -1 · 28 · 33 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7100,-1140292] |
[a1,a2,a3,a4,a6] |
j |
3286064/48735 |
j-invariant |
L |
6.0593574923362 |
L(r)(E,1)/r! |
Ω |
0.25247322884259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320w1 4560e1 |
Quadratic twists by: -4 -19 |