Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048m |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27703323648 = 210 · 33 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28176,1829808] |
[a1,a2,a3,a4,a6] |
j |
2415890159871556/27054027 |
j-invariant |
L |
4.2947475727652 |
L(r)(E,1)/r! |
Ω |
1.073686893341 |
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 |
24024z2 |
Quadratic twists by: -4 |