Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900s |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-5114355468750000 = -1 · 24 · 32 · 514 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32867,-2554012] |
[a1,a2,a3,a4,a6] |
j |
15705460834304/20457421875 |
j-invariant |
L |
2.7614548549812 |
L(r)(E,1)/r! |
Ω |
0.23012124033564 |
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 |
15180h1 |
Quadratic twists by: 5 |