Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550m |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
129894556211437500 = 22 · 38 · 56 · 73 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-223475,36686625] |
[a1,a2,a3,a4,a6] |
Generators |
[145:2640:1] |
Generators of the group modulo torsion |
j |
78993900837812017/8313251597532 |
j-invariant |
L |
3.2515236625916 |
L(r)(E,1)/r! |
Ω |
0.31930884220478 |
Real period |
R |
0.42429189142561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ec4 1302o3 |
Quadratic twists by: -3 5 |