Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760v |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
275806454974202880 = 210 · 313 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176907,13482614] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:31590:1] |
Generators of the group modulo torsion |
j |
820221748268836/369468094905 |
j-invariant |
L |
6.4136135403981 |
L(r)(E,1)/r! |
Ω |
0.27749917335692 |
Real period |
R |
1.9260158095885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bh1 10920l1 |
Quadratic twists by: -4 -3 |