Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cj |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-456962525364224000 = -1 · 227 · 53 · 11 · 195 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27952,-32464492] |
[a1,a2,a3,a4,a6] |
Generators |
[166451308:8191891990:68921] |
Generators of the group modulo torsion |
j |
4717119482011/892504932352 |
j-invariant |
L |
7.7142088028503 |
L(r)(E,1)/r! |
Ω |
0.13976355545047 |
Real period |
R |
13.798677301622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450be2 83600ck2 |
Quadratic twists by: -4 5 |