Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050r |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-7828162250781250 = -1 · 2 · 58 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6695,4249947] |
[a1,a2,a3,a4,a6] |
Generators |
[7902:245695:8] |
Generators of the group modulo torsion |
j |
84972077055/20040095362 |
j-invariant |
L |
6.024511496293 |
L(r)(E,1)/r! |
Ω |
0.32180067212138 |
Real period |
R |
6.2404173537801 |
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 |
64400ck1 72450bz1 8050j1 56350bu1 |
Quadratic twists by: -4 -3 5 -7 |