Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655h |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5876907568702674075 = 39 · 52 · 114 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-458867,26758216] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:12286:1] |
Generators of the group modulo torsion |
j |
112468757283/61858225 |
j-invariant |
L |
3.8093471788235 |
L(r)(E,1)/r! |
Ω |
0.20822756823779 |
Real period |
R |
1.1433846199896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655a2 6435a2 |
Quadratic twists by: -3 13 |