Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32120f |
Isogeny class |
Conductor |
32120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38784 |
Modular degree for the optimal curve |
Δ |
-482007623680 = -1 · 211 · 5 · 112 · 733 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10763,431078] |
[a1,a2,a3,a4,a6] |
Generators |
[58:44:1] |
Generators of the group modulo torsion |
j |
-67327700307138/235355285 |
j-invariant |
L |
4.2515183036229 |
L(r)(E,1)/r! |
Ω |
0.93726543499902 |
Real period |
R |
2.2680438992329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64240a1 |
Quadratic twists by: -4 |