Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cb |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-32412829680 = -1 · 24 · 32 · 5 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,120,8697] |
[a1,a2,a3,a4,a6] |
j |
191003460479/32412829680 |
j-invariant |
L |
3.6047458475758 |
L(r)(E,1)/r! |
Ω |
0.90118646190773 |
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 |
117810ba1 |
Quadratic twists by: -3 |