Atkin-Lehner |
2- 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614k |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
-43449902432256 = -1 · 227 · 3 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10925,537443] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1012:1] |
Generators of the group modulo torsion |
j |
-144208391771653201/43449902432256 |
j-invariant |
L |
6.4411496727336 |
L(r)(E,1)/r! |
Ω |
0.60730044298871 |
Real period |
R |
0.19641110239942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912x1 31842e1 |
Quadratic twists by: -4 -3 |