Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cv |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
9856000000000 = 216 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,-450000] |
[a1,a2,a3,a4,a6] |
Generators |
[15978:381824:27] |
Generators of the group modulo torsion |
j |
1314036/77 |
j-invariant |
L |
6.4280935799905 |
L(r)(E,1)/r! |
Ω |
0.46271336661669 |
Real period |
R |
6.9460858550358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hj1 15400i1 123200dm1 |
Quadratic twists by: -4 8 5 |