Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cd |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9404934013688E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-772520,-15034768] |
[a1,a2,a3,a4,a6] |
Generators |
[-140471998818:-5003690282470:324242703] |
Generators of the group modulo torsion |
j |
12447826367789229481/7178938968185600 |
j-invariant |
L |
11.975791107219 |
L(r)(E,1)/r! |
Ω |
0.175561679663 |
Real period |
R |
17.053538012994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630k2 |
Quadratic twists by: -4 |