Atkin-Lehner |
3- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325s |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
12415200 |
Modular degree for the optimal curve |
Δ |
2.2379843390004E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 5 11+ -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76152326,255767229173] |
[a1,a2,a3,a4,a6] |
Generators |
[6745599:861954052:343] |
Generators of the group modulo torsion |
j |
125029699733349961985785/5729239907841087 |
j-invariant |
L |
11.147941563585 |
L(r)(E,1)/r! |
Ω |
0.13745065945738 |
Real period |
R |
5.7932173151564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83325d1 |
Quadratic twists by: 5 |