Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10780k |
Isogeny class |
Conductor |
10780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-13072251679182080 = -1 · 28 · 5 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62540,-8175532] |
[a1,a2,a3,a4,a6] |
Generators |
[68478:429913:216] |
Generators of the group modulo torsion |
j |
-18330740176/8857805 |
j-invariant |
L |
5.4394888464676 |
L(r)(E,1)/r! |
Ω |
0.14754622793528 |
Real period |
R |
6.1443893693367 |
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 |
43120cg2 97020bf2 53900b2 10780e2 |
Quadratic twists by: -4 -3 5 -7 |