Atkin-Lehner |
2- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650o |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-2266000000 = -1 · 27 · 56 · 11 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11+ -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,137,2217] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:29:1] [2:-51:1] |
Generators of the group modulo torsion |
j |
18191447/145024 |
j-invariant |
L |
10.696503925133 |
L(r)(E,1)/r! |
Ω |
1.0649851974938 |
Real period |
R |
0.3587073306044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2266a1 |
Quadratic twists by: 5 |