Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350ck |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12131289000000 = 26 · 38 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77405,8306597] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:4120:1] [-21:3160:1] |
Generators of the group modulo torsion |
j |
4502751117697/1065024 |
j-invariant |
L |
9.3273437764379 |
L(r)(E,1)/r! |
Ω |
0.69503058387561 |
Real period |
R |
1.1183373308586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6450o2 774b2 |
Quadratic twists by: -3 5 |