Atkin-Lehner |
2- 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360o |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-2418000000000 = -1 · 210 · 3 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3184,27516] |
[a1,a2,a3,a4,a6] |
j |
3485030044604/2361328125 |
j-invariant |
L |
1.0273743289848 |
L(r)(E,1)/r! |
Ω |
0.51368716435604 |
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 |
96720p1 |
Quadratic twists by: -4 |