Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bb |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3781440 |
Modular degree for the optimal curve |
Δ |
-5253858662318160258 = -1 · 2 · 3 · 75 · 139 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-608066,213185390] |
[a1,a2,a3,a4,a6] |
j |
-2344685924125/495436746 |
j-invariant |
L |
2.3143476152082 |
L(r)(E,1)/r! |
Ω |
0.23143478273338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666cc1 |
Quadratic twists by: 13 |