Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070p |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-86302720 = -1 · 213 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-596,-5867] |
[a1,a2,a3,a4,a6] |
Generators |
[29:33:1] |
Generators of the group modulo torsion |
j |
-477872405521/1761280 |
j-invariant |
L |
10.300962583187 |
L(r)(E,1)/r! |
Ω |
0.4830125134881 |
Real period |
R |
1.6404993970985 |
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 |
105350v1 21070x1 |
Quadratic twists by: 5 -7 |