Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200bn |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-542700000000 = -1 · 28 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,45963] |
[a1,a2,a3,a4,a6] |
Generators |
[33:150:1] |
Generators of the group modulo torsion |
j |
-6814720/5427 |
j-invariant |
L |
5.4385884435168 |
L(r)(E,1)/r! |
Ω |
0.84785947653364 |
Real period |
R |
0.2672705301822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400p1 120600bg1 40200c1 |
Quadratic twists by: -4 -3 5 |