Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090bd |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4177920 |
Modular degree for the optimal curve |
Δ |
99507777499180800 = 28 · 37 · 52 · 17 · 535 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17077433,-27158992423] |
[a1,a2,a3,a4,a6] |
Generators |
[-2385:1228:1] |
Generators of the group modulo torsion |
j |
755551253422202598171721/136499008915200 |
j-invariant |
L |
9.414277937606 |
L(r)(E,1)/r! |
Ω |
0.074266663598078 |
Real period |
R |
1.9806745804833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030h1 |
Quadratic twists by: -3 |