Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96048bj |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15738100493303808 = -1 · 214 · 310 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47949,4483186] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1296:1] [-1:2106:1] |
Generators of the group modulo torsion |
j |
4082957867087/5270658012 |
j-invariant |
L |
8.9134229021649 |
L(r)(E,1)/r! |
Ω |
0.26387700707337 |
Real period |
R |
4.2223378046386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12006c4 32016bd3 |
Quadratic twists by: -4 -3 |