Atkin-Lehner |
2+ 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650a |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
190612229500000 = 25 · 56 · 72 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43867,-3462459] |
[a1,a2,a3,a4,a6] |
Generators |
[26054:1470497:8] |
Generators of the group modulo torsion |
j |
597479568890625/12199182688 |
j-invariant |
L |
4.0585195776723 |
L(r)(E,1)/r! |
Ω |
0.33029626196062 |
Real period |
R |
6.1437564741886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466c2 |
Quadratic twists by: 5 |