Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850dk |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-497371588848750 = -1 · 2 · 3 · 54 · 77 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110276,14126648] |
[a1,a2,a3,a4,a6] |
Generators |
[158:729:1] |
Generators of the group modulo torsion |
j |
-2016939204025/6764142 |
j-invariant |
L |
5.5386790338873 |
L(r)(E,1)/r! |
Ω |
0.52560204404537 |
Real period |
R |
1.0537780619748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850eu2 11550o1 |
Quadratic twists by: 5 -7 |