Atkin-Lehner |
3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259a |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1416656798696403 = 39 · 112 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126308,-17151236] |
[a1,a2,a3,a4,a6] |
Generators |
[-55712735:-55818316:274625] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
4.9643675337764 |
L(r)(E,1)/r! |
Ω |
0.25334271922073 |
Real period |
R |
9.7977308170179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259d2 99c2 |
Quadratic twists by: -3 29 |