Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050l |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
25156250000 = 24 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-917,-7259] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:43:1] |
Generators of the group modulo torsion |
j |
5461074081/1610000 |
j-invariant |
L |
2.9720110817557 |
L(r)(E,1)/r! |
Ω |
0.88719304672602 |
Real period |
R |
1.6749517439993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400bc1 72450eg1 1610f1 56350n1 |
Quadratic twists by: -4 -3 5 -7 |