Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2366a |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-224890684928 = -1 · 29 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1179,-16560] |
[a1,a2,a3,a4,a6] |
Generators |
[66:558:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
2.6892887678879 |
L(r)(E,1)/r! |
Ω |
0.53262495547563 |
Real period |
R |
1.2622806818573 |
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 |
18928x1 75712f1 21294cb1 59150bv1 |
Quadratic twists by: -4 8 -3 5 |