Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34645b |
Isogeny class |
Conductor |
34645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
77304362890625 = 58 · 136 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ 4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39155,-2942224] |
[a1,a2,a3,a4,a6] |
Generators |
[60363480177972:-1418382513423361:100155921984] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
6.0037223002838 |
L(r)(E,1)/r! |
Ω |
0.33963145985667 |
Real period |
R |
17.677167783036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205a3 |
Quadratic twists by: 13 |