Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550bw |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-155574842572800 = -1 · 214 · 36 · 52 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4948,-616939] |
[a1,a2,a3,a4,a6] |
Generators |
[221:-3135:1] |
Generators of the group modulo torsion |
j |
-535893219462505/6222993702912 |
j-invariant |
L |
7.1130257185455 |
L(r)(E,1)/r! |
Ω |
0.24557336263049 |
Real period |
R |
0.2068926613897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650bi1 32550bf1 |
Quadratic twists by: -3 5 |