Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
35552c |
Isogeny class |
Conductor |
35552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
6056923136 = 212 · 114 · 101 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 11- 1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461,571] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:44:1] |
Generators of the group modulo torsion |
j |
2650991104/1478741 |
j-invariant |
L |
2.918839371627 |
L(r)(E,1)/r! |
Ω |
1.1631640759763 |
Real period |
R |
0.31367450988988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35552a1 71104l1 |
Quadratic twists by: -4 8 |