Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bw |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2251996007040000 = -1 · 210 · 36 · 54 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19773,-2016846] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-3042:1] |
Generators of the group modulo torsion |
j |
237276/625 |
j-invariant |
L |
5.0744684013645 |
L(r)(E,1)/r! |
Ω |
0.23769622885437 |
Real period |
R |
1.3342839792326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840y3 13520a4 720d4 |
Quadratic twists by: -4 -3 13 |