Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220j |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-16118839046960 = -1 · 24 · 5 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 1 6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3155,-179672] |
[a1,a2,a3,a4,a6] |
Generators |
[768174:6971081:10648] |
Generators of the group modulo torsion |
j |
44957696/208715 |
j-invariant |
L |
9.0707627897785 |
L(r)(E,1)/r! |
Ω |
0.35130785316607 |
Real period |
R |
6.4549957452703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940d1 |
Quadratic twists by: 13 |