Atkin-Lehner |
2- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48734g |
Isogeny class |
Conductor |
48734 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1302720 |
Modular degree for the optimal curve |
Δ |
-460460252327150656 = -1 · 26 · 72 · 598 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 6 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,158313,-21851351] |
[a1,a2,a3,a4,a6] |
j |
2988527/3136 |
j-invariant |
L |
2.5687334127413 |
L(r)(E,1)/r! |
Ω |
0.16054583826401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48734b1 |
Quadratic twists by: -59 |