Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696n |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-2582687744 = -1 · 212 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,331,-899] |
[a1,a2,a3,a4,a6] |
Generators |
[60:481:1] |
Generators of the group modulo torsion |
j |
976191488/630539 |
j-invariant |
L |
6.2622372630982 |
L(r)(E,1)/r! |
Ω |
0.82537469450526 |
Real period |
R |
2.5290482431322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731d1 |
Quadratic twists by: -4 |