Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3146m |
Isogeny class |
Conductor |
3146 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
11414181695488 = 212 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 2 -2 11- 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16277,-789381] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:156:1] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
4.3725356328499 |
L(r)(E,1)/r! |
Ω |
0.42329109375873 |
Real period |
R |
0.28694041742335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168t1 100672bj1 28314s1 78650n1 |
Quadratic twists by: -4 8 -3 5 |