Atkin-Lehner |
2- 3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110z |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
38778642562500 = 22 · 32 · 56 · 194 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8465,6347] |
[a1,a2,a3,a4,a6] |
j |
67082278605014161/38778642562500 |
j-invariant |
L |
3.2948276733036 |
L(r)(E,1)/r! |
Ω |
0.5491379455506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880de2 39330e2 65550s2 |
Quadratic twists by: -4 -3 5 |