Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070v |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
435 |
Product of Tamagawa factors cp |
deg |
1218000 |
Modular degree for the optimal curve |
Δ |
-4.1588443976827E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 2 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2167810,1571337487] |
[a1,a2,a3,a4,a6] |
Generators |
[2617:116291:1] |
Generators of the group modulo torsion |
j |
-195435318335123041/72142028800000 |
j-invariant |
L |
11.534008063383 |
L(r)(E,1)/r! |
Ω |
0.15809008488164 |
Real period |
R |
0.16772058212949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350c1 21070s1 |
Quadratic twists by: 5 -7 |