Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067o |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-2667747 = -1 · 3 · 232 · 412 |
Discriminant |
Eigenvalues |
2 3+ 2 1 6 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:1583:216] |
Generators of the group modulo torsion |
j |
94208/5043 |
j-invariant |
L |
13.822894367862 |
L(r)(E,1)/r! |
Ω |
1.2239515096459 |
Real period |
R |
5.6468308824816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65067p1 |
Quadratic twists by: -23 |