Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880dm |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
26357760 |
Modular degree for the optimal curve |
Δ |
1.6712122248348E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413192937,-3226800810616] |
[a1,a2,a3,a4,a6] |
Generators |
[25928:1868240:1] |
Generators of the group modulo torsion |
j |
167214863032952734406639296/358198779328437056625 |
j-invariant |
L |
6.6168832081099 |
L(r)(E,1)/r! |
Ω |
0.033490160399118 |
Real period |
R |
6.5858977701545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880dr1 36960a1 |
Quadratic twists by: -4 -3 |