Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600y |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
436224 |
Modular degree for the optimal curve |
Δ |
-104780000000 = -1 · 28 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-774033,262370437] |
[a1,a2,a3,a4,a6] |
Generators |
[507:50:1] |
Generators of the group modulo torsion |
j |
-12821614410609664/26195 |
j-invariant |
L |
3.3577669399456 |
L(r)(E,1)/r! |
Ω |
0.68952454112717 |
Real period |
R |
0.60871055696076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120a1 |
Quadratic twists by: 5 |