Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110l |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1099981440000 = 210 · 32 · 54 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4779,-117098] |
[a1,a2,a3,a4,a6] |
Generators |
[98:549:1] |
Generators of the group modulo torsion |
j |
12067134779850409/1099981440000 |
j-invariant |
L |
3.3504552271723 |
L(r)(E,1)/r! |
Ω |
0.57756624012964 |
Real period |
R |
2.9004943453935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880bq2 39330bu2 65550bn2 |
Quadratic twists by: -4 -3 5 |