Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504bc |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61315665306624 = 210 · 310 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12531,386750] |
[a1,a2,a3,a4,a6] |
Generators |
[475:10080:1] |
Generators of the group modulo torsion |
j |
291509972932/82137969 |
j-invariant |
L |
4.7418303887638 |
L(r)(E,1)/r! |
Ω |
0.58034969394808 |
Real period |
R |
4.0853216944069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972728 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24168d2 |
Quadratic twists by: -3 |