Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bh |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-6339820458247473600 = -1 · 26 · 37 · 52 · 135 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56228,-121237113] |
[a1,a2,a3,a4,a6] |
j |
-26967882743214841/8696598708158400 |
j-invariant |
L |
5.1172703449079 |
L(r)(E,1)/r! |
Ω |
0.10660979884118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330c1 |
Quadratic twists by: -3 |