Atkin-Lehner |
3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20235j |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
181058227125 = 3 · 53 · 19 · 714 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38105,2847050] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:2153:1] [113:-47:1] |
Generators of the group modulo torsion |
j |
6118857262866715921/181058227125 |
j-invariant |
L |
4.5123557929894 |
L(r)(E,1)/r! |
Ω |
0.94279833544206 |
Real period |
R |
1.5953768065974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60705d4 101175q4 |
Quadratic twists by: -3 5 |