Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5320h |
Isogeny class |
Conductor |
5320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-232750000000000 = -1 · 210 · 512 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14653,-269586] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4200:1] |
Generators of the group modulo torsion |
j |
339784375292316/227294921875 |
j-invariant |
L |
3.9962276089661 |
L(r)(E,1)/r! |
Ω |
0.3169870984425 |
Real period |
R |
1.050575777532 |
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 |
10640d4 42560m3 47880n3 26600c3 |
Quadratic twists by: -4 8 -3 5 |