Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418o |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.8986069962167E+24 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59259560000,-5552488639221376] |
[a1,a2,a3,a4,a6] |
Generators |
[-462082482192900156806086308261221631453944:230730097595122265151984531737380735143895:3287728614733319875522694956949320192] |
Generators of the group modulo torsion |
j |
195618867208093714935725925765625/24637752944918191232 |
j-invariant |
L |
6.5146700504113 |
L(r)(E,1)/r! |
Ω |
0.0096763139133301 |
Real period |
R |
56.104956466917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774e2 |
Quadratic twists by: -7 |