Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980o |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
339869607756000000 = 28 · 3 · 56 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3837500,2894625000] |
[a1,a2,a3,a4,a6] |
Generators |
[985:8330:1] |
Generators of the group modulo torsion |
j |
207510838537157584/11284546875 |
j-invariant |
L |
5.2962366655875 |
L(r)(E,1)/r! |
Ω |
0.28716582256082 |
Real period |
R |
1.0246183465947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140i4 |
Quadratic twists by: -7 |