Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
14240i |
Isogeny class |
Conductor |
14240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
3560000 = 26 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[40:240:1] |
Generators of the group modulo torsion |
j |
2320940224/55625 |
j-invariant |
L |
6.6933771306021 |
L(r)(E,1)/r! |
Ω |
1.4752209782741 |
Real period |
R |
2.2686015278988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14240j1 28480be2 128160bc1 71200q1 |
Quadratic twists by: -4 8 -3 5 |