Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280cu |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-4519800000 = -1 · 26 · 36 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,-2054] |
[a1,a2,a3,a4,a6] |
j |
99897344/96875 |
j-invariant |
L |
3.7551757137448 |
L(r)(E,1)/r! |
Ω |
0.75103512848916 |
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 |
89280fd1 1395c1 9920h1 |
Quadratic twists by: -4 8 -3 |