Atkin-Lehner |
23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38663a |
Isogeny class |
Conductor |
38663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-183653280269783 = -1 · 23 · 418 |
Discriminant |
Eigenvalues |
1 0 -2 -2 -2 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22168,1433499] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:119807:1] |
Generators of the group modulo torsion |
j |
-253636137/38663 |
j-invariant |
L |
2.2524997645921 |
L(r)(E,1)/r! |
Ω |
0.54913221192812 |
Real period |
R |
4.1019261220956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
943a1 |
Quadratic twists by: 41 |