Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666v |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
298563467743632 = 24 · 3 · 73 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43268,-3366478] |
[a1,a2,a3,a4,a6] |
j |
1855878893569/61855248 |
j-invariant |
L |
1.3268033933439 |
L(r)(E,1)/r! |
Ω |
0.33170075793513 |
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 |
9282v1 |
Quadratic twists by: 13 |