Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672bg |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1039270412288 = 219 · 172 · 193 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4682433,3898357567] |
[a1,a2,a3,a4,a6] |
Generators |
[943:17952:1] [1199:3040:1] |
Generators of the group modulo torsion |
j |
43311038625059640625/3964502 |
j-invariant |
L |
5.3222330443522 |
L(r)(E,1)/r! |
Ω |
0.4903905656601 |
Real period |
R |
1.8088415700481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672n4 5168j4 |
Quadratic twists by: -4 8 |