Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360d |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
17003520 = 210 · 34 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:56:1] |
Generators of the group modulo torsion |
j |
1927561216/16605 |
j-invariant |
L |
5.0977329331996 |
L(r)(E,1)/r! |
Ω |
2.2038497621456 |
Real period |
R |
2.3131036519643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360cm1 2460c1 118080cw1 |
Quadratic twists by: -4 8 -3 |