Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bm |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-535694478191873280 = -1 · 28 · 36 · 5 · 76 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6819156,6856363260] |
[a1,a2,a3,a4,a6] |
Generators |
[17289:2248668:1] |
Generators of the group modulo torsion |
j |
-136985843380845963083344/2092556555437005 |
j-invariant |
L |
5.5547847692445 |
L(r)(E,1)/r! |
Ω |
0.26760058340326 |
Real period |
R |
5.1894363417803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740r2 |
Quadratic twists by: -4 |