Atkin-Lehner |
2- 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cj |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
61501440 |
Modular degree for the optimal curve |
Δ |
1.3487672029411E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15974010406,-777087263357980] |
[a1,a2,a3,a4,a6] |
j |
450780998451705224264814288524067169/13487672029410754560000000 |
j-invariant |
L |
2.363517011622 |
L(r)(E,1)/r! |
Ω |
0.013429073929556 |
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 |
117810bo1 |
Quadratic twists by: -3 |