Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
47268c |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-24748768512 = -1 · 28 · 36 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321,7238] |
[a1,a2,a3,a4,a6] |
Generators |
[11:110:1] |
Generators of the group modulo torsion |
j |
19600688/132613 |
j-invariant |
L |
6.8341040363144 |
L(r)(E,1)/r! |
Ω |
0.86824214246847 |
Real period |
R |
2.6237319836737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5252a2 |
Quadratic twists by: -3 |