Atkin-Lehner |
2+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
80344d |
Isogeny class |
Conductor |
80344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-37642128128 = -1 · 28 · 116 · 83 |
Discriminant |
Eigenvalues |
2+ -3 -4 5 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-847,-13310] |
[a1,a2,a3,a4,a6] |
Generators |
[70:520:1] |
Generators of the group modulo torsion |
j |
-148176/83 |
j-invariant |
L |
3.8626561277267 |
L(r)(E,1)/r! |
Ω |
0.43128105167039 |
Real period |
R |
4.4781194459656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
664a1 |
Quadratic twists by: -11 |