Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710ba |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
128458932360422400 = 210 · 34 · 52 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-639609,-196184804] |
[a1,a2,a3,a4,a6] |
Generators |
[2540:119427:1] |
Generators of the group modulo torsion |
j |
16334668434139489/72511718400 |
j-invariant |
L |
6.4641216267567 |
L(r)(E,1)/r! |
Ω |
0.16886396959073 |
Real period |
R |
4.7850065668076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994524 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bj2 |
Quadratic twists by: -11 |