Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cg |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40470737190912 = 217 · 312 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100129,-12158015] |
[a1,a2,a3,a4,a6] |
Generators |
[272120:12551193:125] |
Generators of the group modulo torsion |
j |
847027985875346/308767221 |
j-invariant |
L |
4.1274115574763 |
L(r)(E,1)/r! |
Ω |
0.26839147959371 |
Real period |
R |
7.6891628242438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999588238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552bq4 27888f4 |
Quadratic twists by: -4 8 |