Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936k |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-12859140096 = -1 · 211 · 39 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11+ -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,12346] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-36:1] [-31:108:1] |
Generators of the group modulo torsion |
j |
-61328594/8613 |
j-invariant |
L |
8.1247115646442 |
L(r)(E,1)/r! |
Ω |
1.2213117136418 |
Real period |
R |
0.41577794359812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22968u1 15312j1 |
Quadratic twists by: -4 -3 |