Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016bp |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-3661982784 = -1 · 26 · 311 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,136,-2802] |
[a1,a2,a3,a4,a6] |
Generators |
[61:486:1] |
Generators of the group modulo torsion |
j |
4314825152/57218481 |
j-invariant |
L |
9.5265659200177 |
L(r)(E,1)/r! |
Ω |
0.68709075161133 |
Real period |
R |
1.2604615114343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016r1 31008q1 |
Quadratic twists by: -4 8 |