Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5580f |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-28926720 = -1 · 28 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,-10604] |
[a1,a2,a3,a4,a6] |
Generators |
[37485:204191:729] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
3.7470986288944 |
L(r)(E,1)/r! |
Ω |
0.43437204374583 |
Real period |
R |
8.6264728194316 |
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 |
22320bx1 89280bu1 620a1 27900m1 |
Quadratic twists by: -4 8 -3 5 |