Atkin-Lehner |
11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38291d |
Isogeny class |
Conductor |
38291 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184080 |
Modular degree for the optimal curve |
Δ |
-17766482950122841 = -1 · 112 · 598 |
Discriminant |
Eigenvalues |
1 0 -3 -2 11- 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12836,-6434139] |
[a1,a2,a3,a4,a6] |
Generators |
[13940:59169:64] |
Generators of the group modulo torsion |
j |
-1593/121 |
j-invariant |
L |
3.2897846532107 |
L(r)(E,1)/r! |
Ω |
0.1713792089328 |
Real period |
R |
3.1993229844834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38291b1 |
Quadratic twists by: -59 |