Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504v |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
623616 |
Modular degree for the optimal curve |
Δ |
4618037739672576 = 210 · 313 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 1 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-852483,302936366] |
[a1,a2,a3,a4,a6] |
j |
91781131747461124/6186285981 |
j-invariant |
L |
3.3033430307417 |
L(r)(E,1)/r! |
Ω |
0.41291788068937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168e1 |
Quadratic twists by: -3 |