Atkin-Lehner |
2+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
54280b |
Isogeny class |
Conductor |
54280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-32025200 = -1 · 24 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 2 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2916,-61591] |
[a1,a2,a3,a4,a6] |
j |
-171441206719744/2001575 |
j-invariant |
L |
2.5986629286172 |
L(r)(E,1)/r! |
Ω |
0.32483286631462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560d1 |
Quadratic twists by: -4 |