Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3066a |
Isogeny class |
Conductor |
3066 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1032240 |
Modular degree for the optimal curve |
Δ |
-4.049726475272E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35944095,294741663669] |
[a1,a2,a3,a4,a6] |
Generators |
[22145960536947010:4224754496385786719:6181888872977] |
Generators of the group modulo torsion |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
2.1771174273195 |
L(r)(E,1)/r! |
Ω |
0.047082051665336 |
Real period |
R |
23.120460454811 |
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 |
24528t1 98112r1 9198g1 76650cy1 |
Quadratic twists by: -4 8 -3 5 |