Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gd |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-327600000000 = -1 · 210 · 32 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,-27405] |
[a1,a2,a3,a4,a6] |
j |
1869154304/319921875 |
j-invariant |
L |
3.6385985537281 |
L(r)(E,1)/r! |
Ω |
0.45482483345221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360b1 21840j1 |
Quadratic twists by: -4 8 |