Atkin-Lehner |
2- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60736k |
Isogeny class |
Conductor |
60736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-60736 = -1 · 26 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 6 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
778688/949 |
j-invariant |
L |
2.3616623382294 |
L(r)(E,1)/r! |
Ω |
1.8805326500516 |
Real period |
R |
1.2558475591412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60736i1 30368a1 |
Quadratic twists by: -4 8 |