Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310u |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10347140326770 = 2 · 316 · 5 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8199,242275] |
[a1,a2,a3,a4,a6] |
Generators |
[69:4:1] |
Generators of the group modulo torsion |
j |
83619706309489/14193608130 |
j-invariant |
L |
5.9910044758766 |
L(r)(E,1)/r! |
Ω |
0.68969233285367 |
Real period |
R |
4.3432442195613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770o2 |
Quadratic twists by: -3 |