Atkin-Lehner |
2- 3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270cc |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4488 |
Product of Tamagawa factors cp |
deg |
450236160 |
Modular degree for the optimal curve |
Δ |
-1.2435751022599E+32 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11247129990,706144026698100] |
[a1,a2,a3,a4,a6] |
Generators |
[2430:26053110:1] |
Generators of the group modulo torsion |
j |
-66729011196981086446628771/52739723913574218750000 |
j-invariant |
L |
15.861806506075 |
L(r)(E,1)/r! |
Ω |
0.017051300269199 |
Real period |
R |
0.20727279188342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270z1 |
Quadratic twists by: -11 |