Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880f |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
268891780326400 = 210 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124267,-16842474] |
[a1,a2,a3,a4,a6] |
Generators |
[9093238:1480444680:343] |
Generators of the group modulo torsion |
j |
116986321764/148225 |
j-invariant |
L |
5.3341303044951 |
L(r)(E,1)/r! |
Ω |
0.25429840927414 |
Real period |
R |
10.487934863062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67760p2 3080e2 |
Quadratic twists by: -4 -11 |