Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272z |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
893760 |
Modular degree for the optimal curve |
Δ |
-78240432592896 = -1 · 211 · 3 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2163072,-1225209504] |
[a1,a2,a3,a4,a6] |
Generators |
[4366159723:1751003142:2571353] |
Generators of the group modulo torsion |
j |
-94803106237826/6627 |
j-invariant |
L |
4.9160283322686 |
L(r)(E,1)/r! |
Ω |
0.062244616649197 |
Real period |
R |
13.163195461382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544d1 55272v1 |
Quadratic twists by: -4 -7 |