Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106ba |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-2141481388176 = -1 · 24 · 33 · 137 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 0 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1433,-66643] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1128:1] |
Generators of the group modulo torsion |
j |
67419143/443664 |
j-invariant |
L |
7.8894368812213 |
L(r)(E,1)/r! |
Ω |
0.4112490722572 |
Real period |
R |
1.1990052705259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162h1 |
Quadratic twists by: 13 |