Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21070bc |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-12950801920 = -1 · 29 · 5 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,195,-5293] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] |
Generators of the group modulo torsion |
j |
6967871/110080 |
j-invariant |
L |
11.012615019595 |
L(r)(E,1)/r! |
Ω |
0.61611389490829 |
Real period |
R |
1.9860352139083 |
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 |
105350h1 430c1 |
Quadratic twists by: 5 -7 |