Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60680d |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
561290000000000 = 210 · 510 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39416,2801180] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:14716:27] |
Generators of the group modulo torsion |
j |
6613820767168996/548134765625 |
j-invariant |
L |
7.2289319274037 |
L(r)(E,1)/r! |
Ω |
0.50594400361348 |
Real period |
R |
7.1440039567495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360b2 |
Quadratic twists by: -4 |