Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592br |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
24600576 |
Modular degree for the optimal curve |
Δ |
-482564144193601536 = -1 · 226 · 32 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 11- 6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-617109537,5900330797119] |
[a1,a2,a3,a4,a6] |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
4.2678887520499 |
L(r)(E,1)/r! |
Ω |
0.15242459742714 |
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 |
86592cd1 2706b1 |
Quadratic twists by: -4 8 |