Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640p |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
223907840 = 212 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308,1952] |
[a1,a2,a3,a4,a6] |
Generators |
[4:28:1] |
Generators of the group modulo torsion |
j |
788889024/54665 |
j-invariant |
L |
6.8236406718491 |
L(r)(E,1)/r! |
Ω |
1.73481764866 |
Real period |
R |
1.9666737183642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640q2 60320r1 |
Quadratic twists by: -4 8 |