Atkin-Lehner |
2+ 3+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
64296a |
Isogeny class |
Conductor |
64296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
42336601344 = 28 · 33 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 1 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1572,-21852] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:38:1] |
Generators of the group modulo torsion |
j |
62155219968/6125087 |
j-invariant |
L |
6.5142944056649 |
L(r)(E,1)/r! |
Ω |
0.76301201764131 |
Real period |
R |
0.26680012302865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592a1 64296c1 |
Quadratic twists by: -4 -3 |