Atkin-Lehner |
3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655g |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2627180673975 = -1 · 33 · 52 · 116 · 133 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11+ 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5199,-162720] |
[a1,a2,a3,a4,a6] |
Generators |
[1804:75642:1] |
Generators of the group modulo torsion |
j |
-262021139199/44289025 |
j-invariant |
L |
6.9506813407113 |
L(r)(E,1)/r! |
Ω |
0.27854068677737 |
Real period |
R |
6.2384793962177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655d2 83655c2 |
Quadratic twists by: -3 13 |