Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504r |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
90894695772950784 = 28 · 34 · 1110 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-571644,165531276] |
[a1,a2,a3,a4,a6] |
Generators |
[714:11040:1] |
Generators of the group modulo torsion |
j |
45551779131472/200420649 |
j-invariant |
L |
6.6210321744245 |
L(r)(E,1)/r! |
Ω |
0.34083130211233 |
Real period |
R |
4.8565317612317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980405 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752d2 6864h2 |
Quadratic twists by: -4 -11 |