Atkin-Lehner |
2- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
51700k |
Isogeny class |
Conductor |
51700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
390981250000 = 24 · 58 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476333,-126694912] |
[a1,a2,a3,a4,a6] |
j |
1912390673367040/62557 |
j-invariant |
L |
1.6355518676632 |
L(r)(E,1)/r! |
Ω |
0.18172798535838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51700c2 |
Quadratic twists by: 5 |