Atkin-Lehner |
2+ 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350r |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3278880 |
Modular degree for the optimal curve |
Δ |
-8.2277124407296E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1049899,-137773152] |
[a1,a2,a3,a4,a6] |
j |
8191187117050762943/5265735962066944 |
j-invariant |
L |
1.6514901044577 |
L(r)(E,1)/r! |
Ω |
0.11009934238126 |
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 |
3094d1 |
Quadratic twists by: 5 |