Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ds |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
152496367718400 = 212 · 38 · 52 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1210025,-512721225] |
[a1,a2,a3,a4,a6] |
j |
47835151396101078976/37230558525 |
j-invariant |
L |
1.1515716002306 |
L(r)(E,1)/r! |
Ω |
0.1439464501456 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560cr2 29280e1 |
Quadratic twists by: -4 8 |