Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576l |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-260742154346496 = -1 · 213 · 33 · 17 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 2 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87147,-9932518] |
[a1,a2,a3,a4,a6] |
j |
-661846572125523/2357694538 |
j-invariant |
L |
4.4449185490743 |
L(r)(E,1)/r! |
Ω |
0.13890370571274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322j1 90576p1 |
Quadratic twists by: -4 -3 |