Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bi |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-953344 = -1 · 210 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- -3 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,29] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
14336/19 |
j-invariant |
L |
7.6975161718368 |
L(r)(E,1)/r! |
Ω |
1.8779452861684 |
Real period |
R |
2.0494516609177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cs1 7448u1 59584h1 |
Quadratic twists by: -4 8 -7 |