Atkin-Lehner |
2- 37- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5846c |
Isogeny class |
Conductor |
5846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1730416 = 24 · 372 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 1 -2 -3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[12:31:1] |
Generators of the group modulo torsion |
j |
3301293169/1730416 |
j-invariant |
L |
6.3176246049376 |
L(r)(E,1)/r! |
Ω |
2.1441750467631 |
Real period |
R |
0.36830158844044 |
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 |
46768g1 52614e1 |
Quadratic twists by: -4 -3 |