Atkin-Lehner |
2+ 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126h |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1268529984 = 26 · 39 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2151,-37827] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:18:1] [-26:17:1] |
Generators of the group modulo torsion |
j |
1510187880817/1740096 |
j-invariant |
L |
4.555543896097 |
L(r)(E,1)/r! |
Ω |
0.70106782320682 |
Real period |
R |
1.6245018475026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042n1 |
Quadratic twists by: -3 |