Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786cz |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
127401984 |
Modular degree for the optimal curve |
Δ |
-1.1432221752255E+29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,601625821,-15243765853695] |
[a1,a2,a3,a4,a6] |
Generators |
[835818:764031777:1] |
Generators of the group modulo torsion |
j |
204698600764777774337181407/971722815515219489390592 |
j-invariant |
L |
9.4204705409302 |
L(r)(E,1)/r! |
Ω |
0.016767672222943 |
Real period |
R |
5.8523270313278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bc1 |
Quadratic twists by: -7 |