Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576t |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
305656743591936 = 221 · 32 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- 7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307649,-65571903] |
[a1,a2,a3,a4,a6] |
j |
12284337086925553/1165987944 |
j-invariant |
L |
2.4325920312905 |
L(r)(E,1)/r! |
Ω |
0.2027160025412 |
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 |
48576df2 1518p2 |
Quadratic twists by: -4 8 |