Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bp |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-1659042 = -1 · 2 · 34 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57,153] |
[a1,a2,a3,a4,a6] |
Generators |
[38:13:8] |
Generators of the group modulo torsion |
j |
-418435297/33858 |
j-invariant |
L |
10.263048956854 |
L(r)(E,1)/r! |
Ω |
2.6090658492228 |
Real period |
R |
1.9668052762986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446co1 |
Quadratic twists by: -7 |