Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490k |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
23819779185468750 = 2 · 39 · 57 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-523932,-145998486] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:376:1] |
Generators of the group modulo torsion |
j |
1086373192042242841/1626922968750 |
j-invariant |
L |
5.5047326131537 |
L(r)(E,1)/r! |
Ω |
0.17746788596402 |
Real period |
R |
2.2155850024856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490bs1 |
Quadratic twists by: -11 |