Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bi |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.3217325727744E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,234729624,-4434270967440] |
[a1,a2,a3,a4,a6] |
Generators |
[98778:4707351:8] |
Generators of the group modulo torsion |
j |
349194561815147256198300311/2275813616400000000000000 |
j-invariant |
L |
2.727306101091 |
L(r)(E,1)/r! |
Ω |
0.02046413476952 |
Real period |
R |
8.3295302893201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790j2 |
Quadratic twists by: -4 |