Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640q |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1269854924800 = -1 · 212 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-841,-55305] |
[a1,a2,a3,a4,a6] |
Generators |
[67:440:1] |
Generators of the group modulo torsion |
j |
-16079333824/310023175 |
j-invariant |
L |
3.1370487811794 |
L(r)(E,1)/r! |
Ω |
0.37097195989584 |
Real period |
R |
0.70469135143895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640d2 12320d1 123200z2 |
Quadratic twists by: -4 8 5 |