Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bf |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
8516026368 = 214 · 36 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,40426] |
[a1,a2,a3,a4,a6] |
Generators |
[45:176:1] |
Generators of the group modulo torsion |
j |
413493625/2852 |
j-invariant |
L |
5.0090551946828 |
L(r)(E,1)/r! |
Ω |
1.3133148118087 |
Real period |
R |
1.9070275998126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834r1 11408i1 |
Quadratic twists by: -4 -3 |