Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82140g |
Isogeny class |
Conductor |
82140 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2557440 |
Modular degree for the optimal curve |
Δ |
-8535325073028030000 = -1 · 24 · 35 · 54 · 378 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -2 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472761,188022060] |
[a1,a2,a3,a4,a6] |
Generators |
[456:8214:1] |
Generators of the group modulo torsion |
j |
-207929344/151875 |
j-invariant |
L |
6.0686411048603 |
L(r)(E,1)/r! |
Ω |
0.21372415401635 |
Real period |
R |
0.94649122720354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82140j1 |
Quadratic twists by: 37 |