Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380z |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
-1.6088300013485E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-510181,-626338825] |
[a1,a2,a3,a4,a6] |
j |
-2376642789376/26036143875 |
j-invariant |
L |
4.6394512175173 |
L(r)(E,1)/r! |
Ω |
0.077324189470919 |
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 |
7140e1 |
Quadratic twists by: 17 |