Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520ba |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1952437944960000 = 210 · 34 · 54 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33240,-971100] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:660:1] |
Generators of the group modulo torsion |
j |
3966613322329444/1906677680625 |
j-invariant |
L |
9.3878207823809 |
L(r)(E,1)/r! |
Ω |
0.37088807894031 |
Real period |
R |
3.1639668793909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
38760t4 |
Quadratic twists by: -4 |