Atkin-Lehner |
2- 3- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434be |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-32160777926344704 = -1 · 229 · 37 · 72 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66686,10896909] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:4131:1] |
Generators of the group modulo torsion |
j |
-44987730264778393/44116293451776 |
j-invariant |
L |
12.303879846368 |
L(r)(E,1)/r! |
Ω |
0.33696440048311 |
Real period |
R |
0.31477488289204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23478d1 |
Quadratic twists by: -3 |