Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672ch |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
18624549666816 = 214 · 313 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -3 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6843,66026] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:486:1] |
Generators of the group modulo torsion |
j |
11867954041/6237324 |
j-invariant |
L |
5.0541331666606 |
L(r)(E,1)/r! |
Ω |
0.60429001457681 |
Real period |
R |
1.0454692838665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999953231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12834h1 34224u1 |
Quadratic twists by: -4 -3 |