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 |
1.2904006045666E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67620942,-213311815659] |
[a1,a2,a3,a4,a6] |
Generators |
[12960184461831843472461535330236:2163246873770936999866450329694257:425246325002376721618053824] |
Generators of the group modulo torsion |
j |
3002063061132672197401/11328619848046875 |
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 |
33825t4 20295k3 |
Quadratic twists by: -3 5 |