Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640f |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
220774400 = 214 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] [-6:40:1] |
Generators of the group modulo torsion |
j |
44851536/13475 |
j-invariant |
L |
7.1629250383463 |
L(r)(E,1)/r! |
Ω |
1.6430143127741 |
Real period |
R |
1.089906062086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640bl2 1540a2 123200cc2 |
Quadratic twists by: -4 8 5 |