Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640n |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
83957350400 = 215 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7628,-256048] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1320:1] |
Generators of the group modulo torsion |
j |
1497979362888/2562175 |
j-invariant |
L |
4.5674185018167 |
L(r)(E,1)/r! |
Ω |
0.51090658643568 |
Real period |
R |
1.1174788657749 |
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 |
24640b4 12320j2 123200o4 |
Quadratic twists by: -4 8 5 |