Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gv |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2196562876200 = -1 · 23 · 37 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1952,63272] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-2158:1] |
Generators of the group modulo torsion |
j |
95921313665/256158936 |
j-invariant |
L |
12.643477782389 |
L(r)(E,1)/r! |
Ω |
0.57645631236812 |
Real period |
R |
0.13055420627213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bp1 80850er1 |
Quadratic twists by: 5 -7 |