Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5220a |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-142701750000 = -1 · 24 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1593,-30483] |
[a1,a2,a3,a4,a6] |
Generators |
[978:10125:8] |
Generators of the group modulo torsion |
j |
-1419579648/453125 |
j-invariant |
L |
3.435638170872 |
L(r)(E,1)/r! |
Ω |
0.37179253601608 |
Real period |
R |
2.3101850078046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20880bg2 83520k2 5220d1 26100f2 |
Quadratic twists by: -4 8 -3 5 |