Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975x |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-2.6032630991998E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -2 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2029575,7842146656] |
[a1,a2,a3,a4,a6] |
Generators |
[-860:94612:1] |
Generators of the group modulo torsion |
j |
-81169238540210176/2285443598748795 |
j-invariant |
L |
2.7122156494839 |
L(r)(E,1)/r! |
Ω |
0.099517261843559 |
Real period |
R |
1.3626860349638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41325c2 24795g2 |
Quadratic twists by: -3 5 |