Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100ba |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
5723136 |
Modular degree for the optimal curve |
Δ |
-4.4120873900373E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5791633,-6246427012] |
[a1,a2,a3,a4,a6] |
Generators |
[5048:305250:1] |
Generators of the group modulo torsion |
j |
-85938324155740143616/17648349560149275 |
j-invariant |
L |
9.9857080298536 |
L(r)(E,1)/r! |
Ω |
0.048128568603337 |
Real period |
R |
1.921109692278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420h1 |
Quadratic twists by: 5 |