Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768dg |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1669496832 = 215 · 34 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26849,-1702305] |
[a1,a2,a3,a4,a6] |
Generators |
[229:2052:1] |
Generators of the group modulo torsion |
j |
65324229690824/50949 |
j-invariant |
L |
2.975343976068 |
L(r)(E,1)/r! |
Ω |
0.37296338542957 |
Real period |
R |
3.9887883013557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120768cg4 60384f4 |
Quadratic twists by: -4 8 |