Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775z |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-990194779248046875 = -1 · 35 · 511 · 193 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 5 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303376,-80204227] |
[a1,a2,a3,a4,a6] |
Generators |
[4087:256706:1] |
Generators of the group modulo torsion |
j |
-197626550799590641/63372465871875 |
j-invariant |
L |
8.1882666831367 |
L(r)(E,1)/r! |
Ω |
0.10007644412023 |
Real period |
R |
1.3636686693389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325ba1 6555h1 |
Quadratic twists by: -3 5 |