Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43378g |
Isogeny class |
Conductor |
43378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-3763301768 = -1 · 23 · 234 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 -4 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,254,-2404] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-501:1] |
Generators of the group modulo torsion |
j |
6436343/13448 |
j-invariant |
L |
1.2534819508897 |
L(r)(E,1)/r! |
Ω |
0.72762069235336 |
Real period |
R |
0.28711890780322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43378f1 |
Quadratic twists by: -23 |