Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838ck |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
4380480 |
Modular degree for the optimal curve |
Δ |
4123778353352146944 = 226 · 39 · 72 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1748657,-884797719] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:-1925:1] |
Generators of the group modulo torsion |
j |
12068173349564783385697/84158741905145856 |
j-invariant |
L |
11.248990195627 |
L(r)(E,1)/r! |
Ω |
0.13134269378643 |
Real period |
R |
0.36600899636151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838bk1 |
Quadratic twists by: -7 |