Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
56180b |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-952812800 = -1 · 28 · 52 · 533 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 0 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-583,-5618] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1060:1] |
Generators of the group modulo torsion |
j |
-574992/25 |
j-invariant |
L |
3.8724688941634 |
L(r)(E,1)/r! |
Ω |
0.48456206774212 |
Real period |
R |
1.9979220166125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56180f1 |
Quadratic twists by: 53 |