Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090f |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-1769941222371840 = -1 · 29 · 3 · 5 · 77 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4397323,3547370557] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:-685:1] |
Generators of the group modulo torsion |
j |
-33602966923620213529/6324810240 |
j-invariant |
L |
3.0029695802047 |
L(r)(E,1)/r! |
Ω |
0.37157169228832 |
Real period |
R |
0.38484781405494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998528981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090k1 |
Quadratic twists by: -23 |