Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048ba |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
630940117936128 = 211 · 3 · 73 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38136,2586612] |
[a1,a2,a3,a4,a6] |
j |
2995094741039858/308076229461 |
j-invariant |
L |
5.977007404415 |
L(r)(E,1)/r! |
Ω |
0.49808395040847 |
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 |
24024b2 |
Quadratic twists by: -4 |