Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865f |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22102836527475 = -1 · 32 · 52 · 117 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4414,197858] |
[a1,a2,a3,a4,a6] |
Generators |
[18:523:1] |
Generators of the group modulo torsion |
j |
5368567751/12476475 |
j-invariant |
L |
3.659503673883 |
L(r)(E,1)/r! |
Ω |
0.4723685358026 |
Real period |
R |
1.9367842061806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715c2 |
Quadratic twists by: -11 |