Atkin-Lehner |
3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097g |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119105413119 = 37 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11246,461526] |
[a1,a2,a3,a4,a6] |
Generators |
[65:12:1] |
Generators of the group modulo torsion |
j |
215751695207833/163381911 |
j-invariant |
L |
2.2708429052079 |
L(r)(E,1)/r! |
Ω |
1.0399103551972 |
Real period |
R |
2.183691020922 |
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 |
6699b3 |
Quadratic twists by: -3 |