Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994f |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
89964 = 22 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 -7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] [3:3:1] |
Generators of the group modulo torsion |
j |
11211291/68 |
j-invariant |
L |
4.4759498497261 |
L(r)(E,1)/r! |
Ω |
3.4124971575088 |
Real period |
R |
0.32790868703567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952cv1 14994bv1 14994d1 |
Quadratic twists by: -4 -3 -7 |