Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
80688s |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
619920 |
Modular degree for the optimal curve |
Δ |
-6132422575964928 = -1 · 28 · 3 · 418 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 4 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183789,30621345] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5450:1] |
Generators of the group modulo torsion |
j |
-335872/3 |
j-invariant |
L |
4.4903657566027 |
L(r)(E,1)/r! |
Ω |
0.4266586183673 |
Real period |
R |
5.2622466305415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172h1 80688ba1 |
Quadratic twists by: -4 41 |