Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520dl |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
249308356018176000 = 232 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288027,54431946] |
[a1,a2,a3,a4,a6] |
j |
884984855328729/83492864000 |
j-invariant |
L |
3.6404445976556 |
L(r)(E,1)/r! |
Ω |
0.30337038313107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bt1 7280k1 |
Quadratic twists by: -4 -3 |