Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14560c |
Isogeny class |
Conductor |
14560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
203840 = 26 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
31554496/3185 |
j-invariant |
L |
6.5770234278711 |
L(r)(E,1)/r! |
Ω |
3.0791563494137 |
Real period |
R |
2.1359822891499 |
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 |
14560l1 29120ba1 72800bi1 101920p1 |
Quadratic twists by: -4 8 5 -7 |