Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
111012b |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
12877392 = 24 · 3 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309,2190] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:29:1] |
Generators of the group modulo torsion |
j |
8388608/33 |
j-invariant |
L |
4.2226506595201 |
L(r)(E,1)/r! |
Ω |
2.2549602804187 |
Real period |
R |
1.2484035595412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111012h1 |
Quadratic twists by: 29 |