Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545h |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3147015043375426125 = -1 · 38 · 53 · 72 · 238 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,208944,77045661] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:7200:1] |
Generators of the group modulo torsion |
j |
6814692748079/21258460125 |
j-invariant |
L |
3.7323758312663 |
L(r)(E,1)/r! |
Ω |
0.17815748723816 |
Real period |
R |
1.3093667466681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2415i2 |
Quadratic twists by: -23 |