Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
14240d |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-5696000 = -1 · 29 · 53 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,-158] |
[a1,a2,a3,a4,a6] |
Generators |
[18:70:1] |
Generators of the group modulo torsion |
j |
-17173512/11125 |
j-invariant |
L |
2.8040060758748 |
L(r)(E,1)/r! |
Ω |
0.90579716036577 |
Real period |
R |
3.0956225064147 |
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 |
14240l1 28480r1 128160bl1 71200l1 |
Quadratic twists by: -4 8 -3 5 |