Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344da |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7341064192 = -1 · 214 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,-4240] |
[a1,a2,a3,a4,a6] |
Generators |
[2190:19360:27] |
Generators of the group modulo torsion |
j |
-44851536/448063 |
j-invariant |
L |
9.2844989143631 |
L(r)(E,1)/r! |
Ω |
0.56102993713094 |
Real period |
R |
4.137256450865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bh2 28336a2 |
Quadratic twists by: -4 8 |