Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655d |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1915214711327775 = -1 · 39 · 52 · 116 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46793,4440232] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-802:1] |
Generators of the group modulo torsion |
j |
-262021139199/44289025 |
j-invariant |
L |
3.6541898177535 |
L(r)(E,1)/r! |
Ω |
0.45043939400228 |
Real period |
R |
0.67604171005414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655g2 83655f2 |
Quadratic twists by: -3 13 |