Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200g |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-50336000000 = -1 · 211 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 11+ 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,-7750] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
4.8390246389305 |
L(r)(E,1)/r! |
Ω |
0.60487808031557 |
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 |
28600s1 2288b1 |
Quadratic twists by: -4 5 |