Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994bs |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-10310815783296 = -1 · 27 · 39 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15392,-747197] |
[a1,a2,a3,a4,a6] |
Generators |
[997:30713:1] |
Generators of the group modulo torsion |
j |
-418114329003/10690688 |
j-invariant |
L |
7.8178085074889 |
L(r)(E,1)/r! |
Ω |
0.2139894017011 |
Real period |
R |
1.3047723133785 |
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 |
119952cl1 14994j1 14994bo1 |
Quadratic twists by: -4 -3 -7 |