Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bw |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-11107860480 = -1 · 215 · 37 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-7472] |
[a1,a2,a3,a4,a6] |
Generators |
[98:936:1] |
Generators of the group modulo torsion |
j |
-941192/465 |
j-invariant |
L |
7.8369251442685 |
L(r)(E,1)/r! |
Ω |
0.47363691458243 |
Real period |
R |
2.068283978706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280bj1 44640bp1 29760bl1 |
Quadratic twists by: -4 8 -3 |