Atkin-Lehner |
3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065b |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1242978075 = 33 · 52 · 232 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:303:8] [-10:64:1] |
Generators of the group modulo torsion |
j |
128252814507/46036225 |
j-invariant |
L |
10.353204782869 |
L(r)(E,1)/r! |
Ω |
1.4053472675419 |
Real period |
R |
1.8417520391571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61065e2 |
Quadratic twists by: -3 |