Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710ba |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2343726733091040 = 25 · 32 · 5 · 117 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10222809,-12581512484] |
[a1,a2,a3,a4,a6] |
Generators |
[-1582592270:788922333:857375] |
Generators of the group modulo torsion |
j |
66692696957462376289/1322972640 |
j-invariant |
L |
6.4641216267567 |
L(r)(E,1)/r! |
Ω |
0.084431984795364 |
Real period |
R |
9.5700131336153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bj4 |
Quadratic twists by: -11 |