Atkin-Lehner |
2- 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6882h |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-586676736 = -1 · 29 · 33 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -3 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80,-1231] |
[a1,a2,a3,a4,a6] |
Generators |
[29:133:1] |
Generators of the group modulo torsion |
j |
-56667352321/586676736 |
j-invariant |
L |
5.1954457067965 |
L(r)(E,1)/r! |
Ω |
0.69318082245456 |
Real period |
R |
0.41639333237429 |
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 |
55056s1 20646h1 |
Quadratic twists by: -4 -3 |