Atkin-Lehner |
2+ 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880i |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18762758560000 = 28 · 54 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14647,-649686] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3570:1] |
Generators of the group modulo torsion |
j |
1357468596585936/73292025625 |
j-invariant |
L |
5.947762882479 |
L(r)(E,1)/r! |
Ω |
0.43543165356915 |
Real period |
R |
1.707432967273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123760k2 |
Quadratic twists by: -4 |