Atkin-Lehner |
2- 3- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39114m |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
-2327232823934976 = -1 · 214 · 313 · 412 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5989,2312651] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1018:1] |
Generators of the group modulo torsion |
j |
32593207718807/3192363270144 |
j-invariant |
L |
7.0196885382954 |
L(r)(E,1)/r! |
Ω |
0.3527871532154 |
Real period |
R |
0.71063574678657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13038b1 |
Quadratic twists by: -3 |