Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bu |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-130463041107000000 = -1 · 26 · 3 · 56 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83013,-19700469] |
[a1,a2,a3,a4,a6] |
Generators |
[609:12188:1] |
Generators of the group modulo torsion |
j |
-4048949315391625/8349634630848 |
j-invariant |
L |
7.3123990834218 |
L(r)(E,1)/r! |
Ω |
0.13198771504789 |
Real period |
R |
1.5389477474326 |
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 |
97650bh4 1302h4 |
Quadratic twists by: -3 5 |