Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14994bo |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-1213057166088991104 = -1 · 27 · 39 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-754193,257796865] |
[a1,a2,a3,a4,a6] |
Generators |
[-551:22766:1] |
Generators of the group modulo torsion |
j |
-418114329003/10690688 |
j-invariant |
L |
6.5711199652567 |
L(r)(E,1)/r! |
Ω |
0.27271342755726 |
Real period |
R |
0.14342458186732 |
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 |
119952ce1 14994c1 14994bs1 |
Quadratic twists by: -4 -3 -7 |