Atkin-Lehner |
2- 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106bb |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
-34427833514141184 = -1 · 29 · 318 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 3 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167996,-28036195] |
[a1,a2,a3,a4,a6] |
Generators |
[16125:2038969:1] |
Generators of the group modulo torsion |
j |
-238666047304293757/15670383939072 |
j-invariant |
L |
8.1879532927509 |
L(r)(E,1)/r! |
Ω |
0.11746294369564 |
Real period |
R |
1.9362970130614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106f1 |
Quadratic twists by: 13 |