Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200z |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7012068750000000000 = 210 · 310 · 514 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-513075,-61465250] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:5400:1] |
Generators of the group modulo torsion |
j |
1280615525284/601171875 |
j-invariant |
L |
5.7558976305268 |
L(r)(E,1)/r! |
Ω |
0.18670860513636 |
Real period |
R |
3.8535299607127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400be3 11400bj3 6840r4 |
Quadratic twists by: -4 -3 5 |