Atkin-Lehner |
23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38663b |
Isogeny class |
Conductor |
38663 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1585183 = -1 · 23 · 413 |
Discriminant |
Eigenvalues |
-1 2 -2 4 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,-58] |
[a1,a2,a3,a4,a6] |
Generators |
[41496:-23971:13824] |
Generators of the group modulo torsion |
j |
343/23 |
j-invariant |
L |
5.2332780058847 |
L(r)(E,1)/r! |
Ω |
1.2743675790282 |
Real period |
R |
8.2131373898837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38663c1 |
Quadratic twists by: 41 |