Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cg |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
2668050 = 2 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61,158] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:17:1] |
Generators of the group modulo torsion |
j |
20012545/2178 |
j-invariant |
L |
4.592529690005 |
L(r)(E,1)/r! |
Ω |
2.4796612075439 |
Real period |
R |
0.46301987547177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fb1 80850d1 |
Quadratic twists by: 5 -7 |