Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380j |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
79626240 |
Modular degree for the optimal curve |
Δ |
8.3997720192279E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515282761,908531852266] |
[a1,a2,a3,a4,a6] |
Generators |
[214280:426207663:512] |
Generators of the group modulo torsion |
j |
39178431186517736144896/21749735907611207685 |
j-invariant |
L |
4.8802566761379 |
L(r)(E,1)/r! |
Ω |
0.035847180022841 |
Real period |
R |
2.8362625841823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998661355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140l1 |
Quadratic twists by: 17 |