Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350br |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9192960 |
Modular degree for the optimal curve |
Δ |
-5.6669122733157E+19 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -4 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1451107,-763745899] |
[a1,a2,a3,a4,a6] |
Generators |
[1068291:11109007:729] |
Generators of the group modulo torsion |
j |
-8377795791/1404928 |
j-invariant |
L |
9.0996108542233 |
L(r)(E,1)/r! |
Ω |
0.068151648604448 |
Real period |
R |
5.5633349695694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dd1 126350dq1 |
Quadratic twists by: 5 -19 |