Atkin-Lehner |
2+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342d |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
416102400 |
Modular degree for the optimal curve |
Δ |
2.507628746911E+30 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-619791658764,-187809167678848950] |
[a1,a2,a3,a4,a6] |
Generators |
[-2986678679137743047712350437262434876433266878208123191908819973660:2030010245328777371662932437009603262664413419980317859841400002115:6572080718726458278411279335902978933806206500661744995596407] |
Generators of the group modulo torsion |
j |
223806478318999562522553252453628201/21314492659614217796583424 |
j-invariant |
L |
4.3333710910084 |
L(r)(E,1)/r! |
Ω |
0.0053806919054924 |
Real period |
R |
100.66946702953 |
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 |
10906c1 |
Quadratic twists by: -7 |