Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
1818j |
Isogeny class |
Conductor |
1818 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-21816 = -1 · 23 · 33 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-19683/808 |
j-invariant |
L |
4.0705275793773 |
L(r)(E,1)/r! |
Ω |
1.6694823472366 |
Real period |
R |
0.40636623942295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14544m1 58176a1 1818a1 45450g1 |
Quadratic twists by: -4 8 -3 5 |