Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72842x |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2330944 = -1 · 26 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
2496791/19264 |
j-invariant |
L |
13.630414385759 |
L(r)(E,1)/r! |
Ω |
1.2856401569742 |
Real period |
R |
1.7670074464775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72842e1 |
Quadratic twists by: -11 |