Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bu |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
929280 |
Modular degree for the optimal curve |
Δ |
21718676489472000 = 211 · 36 · 53 · 195 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99893,-9844019] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:1472:1] |
Generators of the group modulo torsion |
j |
151215836509827081/29792423168000 |
j-invariant |
L |
11.541972412312 |
L(r)(E,1)/r! |
Ω |
0.27223617238353 |
Real period |
R |
0.38542645150392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930g1 |
Quadratic twists by: -3 |