Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4002m |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1152576 = -1 · 26 · 33 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92,336] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
-86175179713/1152576 |
j-invariant |
L |
4.9911179010143 |
L(r)(E,1)/r! |
Ω |
2.7533399750968 |
Real period |
R |
0.90637515638416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32016s1 128064m1 12006k1 100050k1 |
Quadratic twists by: -4 8 -3 5 |