Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314s |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
8320938456010752 = 212 · 36 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146493,21166789] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1819:1] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
2.8204632186958 |
L(r)(E,1)/r! |
Ω |
0.41315394132716 |
Real period |
R |
3.4133320980016 |
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 |
3146m1 28314cf1 |
Quadratic twists by: -3 -11 |