Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ej |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-606637287014400 = -1 · 230 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61068,5928208] |
[a1,a2,a3,a4,a6] |
Generators |
[204:1400:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
7.6233043830711 |
L(r)(E,1)/r! |
Ω |
0.51411475735441 |
Real period |
R |
3.7070052364818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280bv1 22320by1 9920be1 |
Quadratic twists by: -4 8 -3 |