Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070o |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-347041020200 = -1 · 23 · 52 · 79 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1714,-6861] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1645:1] |
Generators of the group modulo torsion |
j |
4733169839/2949800 |
j-invariant |
L |
5.4580785257987 |
L(r)(E,1)/r! |
Ω |
0.55281470577837 |
Real period |
R |
0.41138547183678 |
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 |
105350m1 3010g1 |
Quadratic twists by: 5 -7 |