Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4002j |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-45635862528 = -1 · 218 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-109,-10333] |
[a1,a2,a3,a4,a6] |
Generators |
[35:156:1] |
Generators of the group modulo torsion |
j |
-143301984337/45635862528 |
j-invariant |
L |
4.2184822237972 |
L(r)(E,1)/r! |
Ω |
0.50853096797043 |
Real period |
R |
0.46085713222074 |
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 |
32016bb1 128064bo1 12006f1 100050y1 |
Quadratic twists by: -4 8 -3 5 |