Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
111012b |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6799262976 = -1 · 28 · 32 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164,4104] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-58:1] |
Generators of the group modulo torsion |
j |
-78608/1089 |
j-invariant |
L |
4.2226506595201 |
L(r)(E,1)/r! |
Ω |
1.1274801402094 |
Real period |
R |
0.62420177977058 |
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 |
111012h2 |
Quadratic twists by: 29 |