Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bx |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.0116537E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11- -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6747408,-10736504812] |
[a1,a2,a3,a4,a6] |
Generators |
[6748:501050:1] |
Generators of the group modulo torsion |
j |
-530829093701949769/470570890625000 |
j-invariant |
L |
5.1340432165907 |
L(r)(E,1)/r! |
Ω |
0.045167525853929 |
Real period |
R |
4.7361121358667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350t2 14960k2 |
Quadratic twists by: -4 5 |