Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850hd |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-15478104649218750 = -1 · 2 · 37 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141513,-21358233] |
[a1,a2,a3,a4,a6] |
Generators |
[3966:42117:8] |
Generators of the group modulo torsion |
j |
-6819690145/336798 |
j-invariant |
L |
11.840908579367 |
L(r)(E,1)/r! |
Ω |
0.12272188298456 |
Real period |
R |
2.2972789190842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850m1 11550bx1 |
Quadratic twists by: 5 -7 |