Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bm |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-15253504 = -1 · 214 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 1 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,195] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-7168/19 |
j-invariant |
L |
4.5008691562125 |
L(r)(E,1)/r! |
Ω |
1.9536227791836 |
Real period |
R |
2.3038578398908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cn1 7448t1 59584f1 |
Quadratic twists by: -4 8 -7 |