Atkin-Lehner |
2- 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270cr |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2748900 = 22 · 3 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,-3] |
[a1,a2,a3,a4,a6] |
j |
4750104241/2748900 |
j-invariant |
L |
4.3108370326709 |
L(r)(E,1)/r! |
Ω |
2.1554185163825 |
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 |
117810be1 |
Quadratic twists by: -3 |