Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328u |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-15117009813504 = -1 · 226 · 37 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-854796,304187888] |
[a1,a2,a3,a4,a6] |
Generators |
[532:72:1] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
6.7875128170266 |
L(r)(E,1)/r! |
Ω |
0.5558273614564 |
Real period |
R |
1.5264435703604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328bi1 1854d1 19776j1 |
Quadratic twists by: -4 8 -3 |