Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576t |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
24754715099136 = 227 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- 7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8129,152001] |
[a1,a2,a3,a4,a6] |
j |
226646274673/94431744 |
j-invariant |
L |
2.4325920312905 |
L(r)(E,1)/r! |
Ω |
0.6081480076236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576df1 1518p1 |
Quadratic twists by: -4 8 |