Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bk |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.8934418566366E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24905808,1176906591] |
[a1,a2,a3,a4,a6] |
Generators |
[14152425963892768994800610:2470985886741264170188822057:474537033517341048632] |
Generators of the group modulo torsion |
j |
149995439661238270919/86856005325753675 |
j-invariant |
L |
8.8727517793786 |
L(r)(E,1)/r! |
Ω |
0.052659631721632 |
Real period |
R |
42.123119203349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33825t3 20295k4 |
Quadratic twists by: -3 5 |