Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bg |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6334889368485888 = 223 · 312 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309953,66411873] |
[a1,a2,a3,a4,a6] |
Generators |
[1802:22589:8] |
Generators of the group modulo torsion |
j |
12562403073144625/24165685152 |
j-invariant |
L |
5.0739122864525 |
L(r)(E,1)/r! |
Ω |
0.42383499688268 |
Real period |
R |
5.9857165214901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976m2 9744u2 116928eo2 |
Quadratic twists by: -4 8 -3 |