Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bl |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3860110749600 = 25 · 33 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15122,-705679] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:109:1] |
Generators of the group modulo torsion |
j |
14163178363185123/142967064800 |
j-invariant |
L |
8.443167256586 |
L(r)(E,1)/r! |
Ω |
0.43078861821305 |
Real period |
R |
1.9599327604357 |
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 |
19530b2 97650i2 |
Quadratic twists by: -3 5 |