Atkin-Lehner |
2- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550v |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-404937591230468750 = -1 · 2 · 510 · 29 · 595 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,181237,-7368969] |
[a1,a2,a3,a4,a6] |
Generators |
[1374471787305304632477432149250:-29849453834955051146699999304247:30404653732151335024171875000] |
Generators of the group modulo torsion |
j |
67416175763975/41465609342 |
j-invariant |
L |
8.6220045522155 |
L(r)(E,1)/r! |
Ω |
0.17314508236281 |
Real period |
R |
49.796416014572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550m1 |
Quadratic twists by: 5 |