Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bu |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-190789912687500 = -1 · 22 · 33 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8862,585531] |
[a1,a2,a3,a4,a6] |
Generators |
[21:873:1] |
Generators of the group modulo torsion |
j |
4926016478375/12210554412 |
j-invariant |
L |
7.3123990834218 |
L(r)(E,1)/r! |
Ω |
0.39596314514366 |
Real period |
R |
4.6168432422977 |
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 |
97650bh2 1302h2 |
Quadratic twists by: -3 5 |