Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850t |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
Δ |
34166702080000000 = 221 · 57 · 7 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110438,-11021469] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:1627:1] |
Generators of the group modulo torsion |
j |
9533657181184921/2186668933120 |
j-invariant |
L |
5.5377949131259 |
L(r)(E,1)/r! |
Ω |
0.26620907432044 |
Real period |
R |
0.08254931465235 |
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 |
86800bs2 97650be2 2170f2 75950cd2 |
Quadratic twists by: -4 -3 5 -7 |