Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
16480b |
Isogeny class |
Conductor |
16480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-32960 = -1 · 26 · 5 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 6 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
-31554496/515 |
j-invariant |
L |
4.248614998328 |
L(r)(E,1)/r! |
Ω |
1.0527424613365 |
Real period |
R |
2.0178795642641 |
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 |
16480a1 32960x1 82400b1 |
Quadratic twists by: -4 8 5 |