Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976u |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
220504551063552 = 220 · 36 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-467265,122782239] |
[a1,a2,a3,a4,a6] |
Generators |
[411:-576:1] |
Generators of the group modulo torsion |
j |
43040219271568849/841158108 |
j-invariant |
L |
4.4865813997099 |
L(r)(E,1)/r! |
Ω |
0.51587265265195 |
Real period |
R |
0.72475596716983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bo2 1218e2 116928bd2 |
Quadratic twists by: -4 8 -3 |