Atkin-Lehner |
3- 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725cd |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
33264000 |
Modular degree for the optimal curve |
Δ |
-4.4065873700968E+26 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96257833,1073361735994] |
[a1,a2,a3,a4,a6] |
Generators |
[6682:853555:1] |
Generators of the group modulo torsion |
j |
-252506128493374764482560/1128086366744785078323 |
j-invariant |
L |
5.8358537242306 |
L(r)(E,1)/r! |
Ω |
0.045992190300262 |
Real period |
R |
5.7676330606088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725l1 |
Quadratic twists by: 5 |