Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360ck |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-941288299200 = -1 · 26 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2371,-65245] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1215:1] |
Generators of the group modulo torsion |
j |
-23042073442816/14707629675 |
j-invariant |
L |
5.6087548930692 |
L(r)(E,1)/r! |
Ω |
0.3324993839832 |
Real period |
R |
0.56228223401784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360bn1 19680f1 118080gd1 |
Quadratic twists by: -4 8 -3 |