Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960bl |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-174000000000000 = -1 · 213 · 3 · 512 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9640,522900] |
[a1,a2,a3,a4,a6] |
Generators |
[180:2850:1] |
Generators of the group modulo torsion |
j |
24185207275559/42480468750 |
j-invariant |
L |
5.0962153852395 |
L(r)(E,1)/r! |
Ω |
0.39177200575524 |
Real period |
R |
2.1680192009531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870a4 27840cf3 20880br4 34800bw3 |
Quadratic twists by: -4 8 -3 5 |