Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080s |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
16032016000000 = 210 · 56 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-333667,74185074] |
[a1,a2,a3,a4,a6] |
Generators |
[9291:-9100:27] |
Generators of the group modulo torsion |
j |
4012024028024012004/15656265625 |
j-invariant |
L |
6.8967292049368 |
L(r)(E,1)/r! |
Ω |
0.612117339954 |
Real period |
R |
0.93891709392309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960885 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40040p2 |
Quadratic twists by: -4 |