Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994z |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-5039878460046506496 = -1 · 29 · 315 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47619,107925061] |
[a1,a2,a3,a4,a6] |
Generators |
[569:17576:1] |
Generators of the group modulo torsion |
j |
139233463487/58763045376 |
j-invariant |
L |
2.0966067066817 |
L(r)(E,1)/r! |
Ω |
0.1886124134669 |
Real period |
R |
1.3894941139768 |
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 |
119952fp1 4998bg1 2142j1 |
Quadratic twists by: -4 -3 -7 |