Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650bc |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1064000 = -1 · 26 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -2 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
6.6697130944395 |
L(r)(E,1)/r! |
Ω |
1.5154745373159 |
Real period |
R |
0.36675602977866 |
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 |
53200ea1 59850cp1 6650m1 46550df1 |
Quadratic twists by: -4 -3 5 -7 |