Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850dc |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-213159252363750 = -1 · 2 · 32 · 54 · 76 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6099,678598] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3921:1] |
Generators of the group modulo torsion |
j |
341297975/2898918 |
j-invariant |
L |
6.3610011062889 |
L(r)(E,1)/r! |
Ω |
0.4108612948902 |
Real period |
R |
0.25803522121991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850eg2 1650c1 |
Quadratic twists by: 5 -7 |