Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275a |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-1432958921875 = -1 · 56 · 136 · 19 |
Discriminant |
Eigenvalues |
0 2 5+ -1 -3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2817,-3482] |
[a1,a2,a3,a4,a6] |
Generators |
[10058:1008676:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
6.7330234744611 |
L(r)(E,1)/r! |
Ω |
0.50597231294495 |
Real period |
R |
6.6535493179255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3211a1 475a1 |
Quadratic twists by: 5 13 |