Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
57816b |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9435370544252928 = -1 · 211 · 310 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4605,4671902] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2774:1] |
Generators of the group modulo torsion |
j |
7233610750/6319773009 |
j-invariant |
L |
4.5744268627963 |
L(r)(E,1)/r! |
Ω |
0.31983458496511 |
Real period |
R |
3.5756193027125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115632i2 19272e2 |
Quadratic twists by: -4 -3 |