Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dp |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2611200 |
Modular degree for the optimal curve |
Δ |
-6.0433322976259E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1151280,-1082599020] |
[a1,a2,a3,a4,a6] |
j |
347428927/1244160 |
j-invariant |
L |
3.3149709363109 |
L(r)(E,1)/r! |
Ω |
0.082874273205491 |
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 |
8670q1 69360ca1 |
Quadratic twists by: -4 17 |