Atkin-Lehner |
3+ 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14007f |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-7173951183 = -1 · 32 · 72 · 23 · 294 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69,-4110] |
[a1,a2,a3,a4,a6] |
Generators |
[81:687:1] |
Generators of the group modulo torsion |
j |
-36363385297/7173951183 |
j-invariant |
L |
2.0966713148933 |
L(r)(E,1)/r! |
Ω |
0.59081727143024 |
Real period |
R |
3.5487644256196 |
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 |
42021k1 98049p1 |
Quadratic twists by: -3 -7 |