Atkin-Lehner |
2+ 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350j |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.9884896119993E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2567781167,-50081526642259] |
[a1,a2,a3,a4,a6] |
j |
119833353753791357767404000321/639263335167953699840 |
j-invariant |
L |
0.6786723799597 |
L(r)(E,1)/r! |
Ω |
0.021208511614106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470n3 |
Quadratic twists by: 5 |