Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32200j |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4147360000000 = -1 · 211 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3992,12012] |
[a1,a2,a3,a4,a6] |
Generators |
[106617:2256400:9261] |
Generators of the group modulo torsion |
j |
219804478/129605 |
j-invariant |
L |
8.2835363500387 |
L(r)(E,1)/r! |
Ω |
0.47431438261915 |
Real period |
R |
8.7321159273068 |
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 |
64400e2 6440h2 |
Quadratic twists by: -4 5 |