Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850gz |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-931780080000 = -1 · 27 · 32 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-46908] |
[a1,a2,a3,a4,a6] |
Generators |
[46:124:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
12.795360689221 |
L(r)(E,1)/r! |
Ω |
0.38455305687414 |
Real period |
R |
1.1883332070954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850f1 1650o1 |
Quadratic twists by: 5 -7 |