Atkin-Lehner |
3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097g |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32715042129 = 38 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-851,4146] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:113:1] |
Generators of the group modulo torsion |
j |
93391282153/44876601 |
j-invariant |
L |
2.2708429052079 |
L(r)(E,1)/r! |
Ω |
1.0399103551972 |
Real period |
R |
1.091845510461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699b2 |
Quadratic twists by: -3 |