Atkin-Lehner |
3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005q |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
678390940580536575 = 314 · 52 · 77 · 832 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-231036,16000641] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:-5910:1] |
Generators of the group modulo torsion |
j |
11592432082874161/5766227852175 |
j-invariant |
L |
4.871830995455 |
L(r)(E,1)/r! |
Ω |
0.25418764929509 |
Real period |
R |
0.34225495340514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715g2 |
Quadratic twists by: -7 |