Atkin-Lehner |
2+ 41+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43952a |
Isogeny class |
Conductor |
43952 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-73883312 = -1 · 24 · 413 · 67 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 -5 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70,471] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-2370816000/4617707 |
j-invariant |
L |
4.2960376039377 |
L(r)(E,1)/r! |
Ω |
1.7291325582926 |
Real period |
R |
2.4845044894488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21976a1 |
Quadratic twists by: -4 |