Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bk |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1120394956800000000 = -1 · 218 · 3 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,253424,-13479202] |
[a1,a2,a3,a4,a6] |
Generators |
[5187:173009:27] |
Generators of the group modulo torsion |
j |
4607967053654375/2868211089408 |
j-invariant |
L |
4.8566382491198 |
L(r)(E,1)/r! |
Ω |
0.15859561492761 |
Real period |
R |
2.5518981358851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650ex2 32550bv2 |
Quadratic twists by: -3 5 |