Atkin-Lehner |
2- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550bh |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-2248188800 = -1 · 27 · 52 · 11 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,277,1457] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:19:1] |
Generators of the group modulo torsion |
j |
93999385895/89927552 |
j-invariant |
L |
9.0479833888425 |
L(r)(E,1)/r! |
Ω |
0.95791516970892 |
Real period |
R |
0.44978549617919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550w1 |
Quadratic twists by: 5 |