Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786i |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.0089285536619E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77618682,263204423860] |
[a1,a2,a3,a4,a6] |
Generators |
[63435:8237875:27] |
Generators of the group modulo torsion |
j |
479212306722528625/46414138368 |
j-invariant |
L |
5.2000001612841 |
L(r)(E,1)/r! |
Ω |
0.13073822424627 |
Real period |
R |
4.9717672293844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262n2 5382b2 |
Quadratic twists by: -3 -23 |