Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032n |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
-75209472 = -1 · 28 · 36 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 3 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828,9180] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:135:1] |
Generators of the group modulo torsion |
j |
-336393216/403 |
j-invariant |
L |
9.6531910911192 |
L(r)(E,1)/r! |
Ω |
1.9313446996976 |
Real period |
R |
2.4990855057392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29016o1 6448c1 |
Quadratic twists by: -4 -3 |