Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360a |
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] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
-308915776/378225 |
j-invariant |
L |
4.8544062348891 |
L(r)(E,1)/r! |
Ω |
1.9261201794511 |
Real period |
R |
1.2601514398422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360x1 19680k2 118080cl1 |
Quadratic twists by: -4 8 -3 |