Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cr |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81071198208 = 212 · 32 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59192,-5562732] |
[a1,a2,a3,a4,a6] |
j |
5599640476399033/19792773 |
j-invariant |
L |
4.8972611582451 |
L(r)(E,1)/r! |
Ω |
0.3060788223952 |
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 |
3003a4 |
Quadratic twists by: -4 |