Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360j |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
7790618880 = 28 · 37 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1341356,-598396416] |
[a1,a2,a3,a4,a6] |
j |
1042596443915313928144/30432105 |
j-invariant |
L |
3.9280005957227 |
L(r)(E,1)/r! |
Ω |
0.1402857355616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720h2 91080cg2 |
Quadratic twists by: -4 -3 |