Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550by |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
56444387328000000 = 222 · 34 · 56 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-159138,21530031] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1955:1] |
Generators of the group modulo torsion |
j |
28524992814753625/3612440788992 |
j-invariant |
L |
7.5518648813574 |
L(r)(E,1)/r! |
Ω |
0.34030111286468 |
Real period |
R |
0.33623808693679 |
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 |
97650bo1 1302d1 |
Quadratic twists by: -3 5 |