Atkin-Lehner |
2+ 3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51888b |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
80809125888 = 211 · 3 · 234 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6192,-184992] |
[a1,a2,a3,a4,a6] |
j |
12822028532066/39457581 |
j-invariant |
L |
2.1531600280903 |
L(r)(E,1)/r! |
Ω |
0.53829000728105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944i4 |
Quadratic twists by: -4 |