Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-668086853027343750 = -1 · 2 · 37 · 516 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,215046,8502178] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:18707:8] [17:3479:1] |
Generators of the group modulo torsion |
j |
1508652282652456031/916442871093750 |
j-invariant |
L |
8.7744651861426 |
L(r)(E,1)/r! |
Ω |
0.17659310876319 |
Real period |
R |
3.1054670139407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bc3 |
Quadratic twists by: -3 |