Atkin-Lehner |
2+ 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816b |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6341778432 = 210 · 32 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9064,-329120] |
[a1,a2,a3,a4,a6] |
j |
80432461432228/6193143 |
j-invariant |
L |
0.97858282635593 |
L(r)(E,1)/r! |
Ω |
0.48929141317807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12408a3 99264cg4 74448m4 |
Quadratic twists by: -4 8 -3 |