Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760ba |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
4.7381712403439E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872387,-928873234] |
[a1,a2,a3,a4,a6] |
j |
26257105115938658412/1713748278480875 |
j-invariant |
L |
3.8877436030781 |
L(r)(E,1)/r! |
Ω |
0.129591453436 |
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 |
65520g1 32760d1 |
Quadratic twists by: -4 -3 |