Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740v |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
128992245984000 = 28 · 36 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34420,-2407900] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:234:1] |
Generators of the group modulo torsion |
j |
17616878626697296/503875960875 |
j-invariant |
L |
6.8384807488335 |
L(r)(E,1)/r! |
Ω |
0.35111950725452 |
Real period |
R |
2.164024437879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78960by2 59220o2 98700c2 |
Quadratic twists by: -4 -3 5 |