Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bd |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-953344 = -1 · 210 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 0 3 7- -5 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,168] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-387072/19 |
j-invariant |
L |
5.9333865941352 |
L(r)(E,1)/r! |
Ω |
2.7578818137616 |
Real period |
R |
1.0757144422149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584ch1 7448r1 59584d1 |
Quadratic twists by: -4 8 -7 |