Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048u |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2306737585152 = -1 · 210 · 38 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1728,-67068] |
[a1,a2,a3,a4,a6] |
Generators |
[54:432:1] |
Generators of the group modulo torsion |
j |
556933853948/2252673423 |
j-invariant |
L |
9.033220595676 |
L(r)(E,1)/r! |
Ω |
0.41501528264792 |
Real period |
R |
1.3603746918138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024c3 |
Quadratic twists by: -4 |