Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550v |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2591834112000000 = 220 · 36 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90926,10257248] |
[a1,a2,a3,a4,a6] |
Generators |
[222:901:1] |
Generators of the group modulo torsion |
j |
5320605737038033/165877383168 |
j-invariant |
L |
5.4658119441012 |
L(r)(E,1)/r! |
Ω |
0.45384642750296 |
Real period |
R |
2.0072178652199 |
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 |
97650dp1 1302j1 |
Quadratic twists by: -3 5 |