Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bw |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
84133344960000 = 29 · 32 · 54 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-564661,163080539] |
[a1,a2,a3,a4,a6] |
Generators |
[431:-132:1] [-661:16080:1] |
Generators of the group modulo torsion |
j |
1636453355406772967/6914880000 |
j-invariant |
L |
14.373516321082 |
L(r)(E,1)/r! |
Ω |
0.53447523798001 |
Real period |
R |
0.37351060810964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090cd2 |
Quadratic twists by: -23 |