Atkin-Lehner |
2+ 3- 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030p |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
19540055903062500 = 22 · 312 · 56 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-485559,-129934935] |
[a1,a2,a3,a4,a6] |
Generators |
[-3282:4071:8] |
Generators of the group modulo torsion |
j |
17366916327928526449/26803917562500 |
j-invariant |
L |
5.2935082870615 |
L(r)(E,1)/r! |
Ω |
0.18087530112626 |
Real period |
R |
2.4388387350432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997533 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23010p2 |
Quadratic twists by: -3 |