Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111100c |
Isogeny class |
Conductor |
111100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2460672 |
Modular degree for the optimal curve |
Δ |
4667276281250000 = 24 · 59 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10625033,13333953062] |
[a1,a2,a3,a4,a6] |
Generators |
[531519525474672:3184058758292621:260182831104] |
Generators of the group modulo torsion |
j |
530608993935667216384/18669105125 |
j-invariant |
L |
12.121090692372 |
L(r)(E,1)/r! |
Ω |
0.3203471034108 |
Real period |
R |
18.918683131171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22220b1 |
Quadratic twists by: 5 |