Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705d |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131991447574125 = 37 · 53 · 19 · 714 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342945,-77213300] |
[a1,a2,a3,a4,a6] |
Generators |
[-58042522310514368:36254011559431489:172028043984896] |
Generators of the group modulo torsion |
j |
6118857262866715921/181058227125 |
j-invariant |
L |
8.0749740891375 |
L(r)(E,1)/r! |
Ω |
0.19728503696026 |
Real period |
R |
20.465247171382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235j3 |
Quadratic twists by: -3 |