Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994y |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3059875719936 = 28 · 315 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3663,-13203] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:225:1] |
Generators of the group modulo torsion |
j |
152186997697/85660416 |
j-invariant |
L |
4.5053798829604 |
L(r)(E,1)/r! |
Ω |
0.66051639890316 |
Real period |
R |
1.7052490636273 |
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 |
119952fl1 4998br1 14994r1 |
Quadratic twists by: -4 -3 -7 |