Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520dk |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-40089600000 = -1 · 214 · 33 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,-8992] |
[a1,a2,a3,a4,a6] |
j |
20155392/90625 |
j-invariant |
L |
1.1593128478209 |
L(r)(E,1)/r! |
Ω |
0.57965645887128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520a1 20880e1 83520dy1 |
Quadratic twists by: -4 8 -3 |