Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14706b |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
44254942272 = 26 · 39 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19833,1079981] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:364:1] [-46:1399:1] |
Generators of the group modulo torsion |
j |
43833885878979/2248384 |
j-invariant |
L |
4.2835271484347 |
L(r)(E,1)/r! |
Ω |
1.0747600580257 |
Real period |
R |
1.9927830014002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648q1 14706n1 |
Quadratic twists by: -4 -3 |