Atkin-Lehner |
2- 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cd |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
1134 |
Product of Tamagawa factors cp |
deg |
6749568 |
Modular degree for the optimal curve |
Δ |
6.6117316608E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1390180,-495528475] |
[a1,a2,a3,a4,a6] |
Generators |
[1343:7203:1] [-547:-9807:1] |
Generators of the group modulo torsion |
j |
123749849705277508321/27537408000000000 |
j-invariant |
L |
15.224094911572 |
L(r)(E,1)/r! |
Ω |
0.14124741163939 |
Real period |
R |
0.095046894197513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cx1 |
Quadratic twists by: -7 |