Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344dd |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-115046604603392 = -1 · 229 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1983,514273] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:704:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
6.9621816727501 |
L(r)(E,1)/r! |
Ω |
0.45486466650349 |
Real period |
R |
2.5510084508537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bj1 28336m1 |
Quadratic twists by: -4 8 |