Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
14560l |
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 |
[-3:2:1] |
Generators of the group modulo torsion |
j |
31554496/3185 |
j-invariant |
L |
2.6806443305743 |
L(r)(E,1)/r! |
Ω |
2.12123878348 |
Real period |
R |
1.2637164431703 |
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 |
14560c1 29120n1 72800m1 101920bm1 |
Quadratic twists by: -4 8 5 -7 |