Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bl |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-2587051140450144500 = -1 · 22 · 53 · 118 · 176 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18994,77380708] |
[a1,a2,a3,a4,a6] |
Generators |
[1456:55771:1] |
Generators of the group modulo torsion |
j |
28284883/96550276 |
j-invariant |
L |
5.1919068154198 |
L(r)(E,1)/r! |
Ω |
0.20158959678309 |
Real period |
R |
3.2193543836836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850dp1 102850dn1 |
Quadratic twists by: 5 -11 |