Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200l |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-47920173750000 = -1 · 24 · 33 · 57 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11175,563625] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:867:1] [40:425:1] |
Generators of the group modulo torsion |
j |
-22864543488/7099285 |
j-invariant |
L |
9.1864097550503 |
L(r)(E,1)/r! |
Ω |
0.60180804636872 |
Real period |
R |
0.38161710409479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600bo1 61200e1 12240e1 |
Quadratic twists by: -4 -3 5 |