Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090be |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
4774928657679360000 = 213 · 36 · 54 · 176 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20863478,-36674535419] |
[a1,a2,a3,a4,a6] |
Generators |
[-2635:1667:1] |
Generators of the group modulo torsion |
j |
1377705172619874878690841/6549970723840000 |
j-invariant |
L |
10.243821156448 |
L(r)(E,1)/r! |
Ω |
0.070640376150097 |
Real period |
R |
2.7887246852082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010c2 |
Quadratic twists by: -3 |