Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360x |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-24206400 = -1 · 26 · 32 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-306] |
[a1,a2,a3,a4,a6] |
j |
-308915776/378225 |
j-invariant |
L |
1.6651460484092 |
L(r)(E,1)/r! |
Ω |
0.83257302419549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360a1 19680r2 118080ck1 |
Quadratic twists by: -4 8 -3 |