Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008bx |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-293362668100656 = -1 · 24 · 312 · 72 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16151,-229054] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1890:1] |
Generators of the group modulo torsion |
j |
29118908447080448/18335166756291 |
j-invariant |
L |
7.1398833538443 |
L(r)(E,1)/r! |
Ω |
0.31451663624468 |
Real period |
R |
1.8917609155343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252e1 |
Quadratic twists by: -4 |