Atkin-Lehner |
3+ 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14007f |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
86522457609 = 34 · 74 · 232 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4274,-108394] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:46:1] |
Generators of the group modulo torsion |
j |
8634428875116577/86522457609 |
j-invariant |
L |
2.0966713148933 |
L(r)(E,1)/r! |
Ω |
0.59081727143024 |
Real period |
R |
1.7743822128098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42021k2 98049p2 |
Quadratic twists by: -3 -7 |