Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994c |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-1664001599573376 = -1 · 27 · 33 · 78 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83799,-9520099] |
[a1,a2,a3,a4,a6] |
Generators |
[6470:166697:8] |
Generators of the group modulo torsion |
j |
-418114329003/10690688 |
j-invariant |
L |
3.8547568304111 |
L(r)(E,1)/r! |
Ω |
0.14008894731623 |
Real period |
R |
2.2930412571555 |
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 |
119952bw1 14994bo1 14994j1 |
Quadratic twists by: -4 -3 -7 |