Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14025g |
Isogeny class |
Conductor |
14025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1458380859375 = -1 · 3 · 59 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2312,-38344] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2488:1] |
Generators of the group modulo torsion |
j |
87469256519/93336375 |
j-invariant |
L |
2.4644295389661 |
L(r)(E,1)/r! |
Ω |
0.46060145494818 |
Real period |
R |
5.3504597358324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42075v1 2805e1 |
Quadratic twists by: -3 5 |