Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bp |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.620068364E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712033,-126645937] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:2700:1] |
Generators of the group modulo torsion |
j |
623799057208384/253135681875 |
j-invariant |
L |
7.6527869263032 |
L(r)(E,1)/r! |
Ω |
0.17027119046333 |
Real period |
R |
2.2472348097995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600z2 91200fp1 9120a2 |
Quadratic twists by: -4 8 5 |