Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776p |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-749968113664 = -1 · 214 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1009,-43119] |
[a1,a2,a3,a4,a6] |
Generators |
[45:24:1] |
Generators of the group modulo torsion |
j |
-6940769488/45774421 |
j-invariant |
L |
12.97640012454 |
L(r)(E,1)/r! |
Ω |
0.37699658023172 |
Real period |
R |
2.8683726417934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776t2 5236c2 |
Quadratic twists by: -4 8 |