Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60516k |
Isogeny class |
Conductor |
60516 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9918720 |
Modular degree for the optimal curve |
Δ |
6.7634740019643E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 4 1 5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110204679,-445119524242] |
[a1,a2,a3,a4,a6] |
Generators |
[65891161700302258694597751823508715277659975179924420012332394:11111482617075871794648976014561423465862708782985567216127684964:2041316747522865989938661201469583251171326699748084576881] |
Generators of the group modulo torsion |
j |
59090512/27 |
j-invariant |
L |
9.0799254420419 |
L(r)(E,1)/r! |
Ω |
0.046597375438792 |
Real period |
R |
97.429580062601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172c1 60516p1 |
Quadratic twists by: -3 41 |