Atkin-Lehner |
2+ 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970a |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-125549276037120 = -1 · 227 · 33 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -4 13- 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3300,-534960] |
[a1,a2,a3,a4,a6] |
j |
147172862865573/4649973186560 |
j-invariant |
L |
1.1321574190479 |
L(r)(E,1)/r! |
Ω |
0.28303935476634 |
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 |
47970z1 |
Quadratic twists by: -3 |