Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
5360k |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-3350000 = -1 · 24 · 55 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1206,-15725] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5387:1] |
Generators of the group modulo torsion |
j |
-12134048168704/209375 |
j-invariant |
L |
2.347313245668 |
L(r)(E,1)/r! |
Ω |
0.40504406904433 |
Real period |
R |
5.79520458405 |
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 |
1340a1 21440z1 48240ce1 26800r1 |
Quadratic twists by: -4 8 -3 5 |