Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43378f |
Isogeny class |
Conductor |
43378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
503424 |
Modular degree for the optimal curve |
Δ |
-557103722801151752 = -1 · 23 · 2310 · 412 |
Discriminant |
Eigenvalues |
2+ -1 2 2 4 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,134091,30591253] |
[a1,a2,a3,a4,a6] |
Generators |
[5471235:299831939:42875] |
Generators of the group modulo torsion |
j |
6436343/13448 |
j-invariant |
L |
4.6766275719271 |
L(r)(E,1)/r! |
Ω |
0.20188654187607 |
Real period |
R |
11.582316306157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43378g1 |
Quadratic twists by: -23 |