Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cs |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-455352096475938816 = -1 · 215 · 33 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,182589,12338370] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:3038:1] |
Generators of the group modulo torsion |
j |
3436115229/2324168 |
j-invariant |
L |
5.2118928785609 |
L(r)(E,1)/r! |
Ω |
0.18663701660017 |
Real period |
R |
3.490661305135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246d2 121968cr2 11088bb2 |
Quadratic twists by: -4 -3 -11 |