Atkin-Lehner |
2+ 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824a |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-56795904 = -1 · 28 · 35 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 11+ -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-363] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] |
Generators of the group modulo torsion |
j |
-30505984/221859 |
j-invariant |
L |
2.3571236002499 |
L(r)(E,1)/r! |
Ω |
0.8337307417985 |
Real period |
R |
2.8272000564195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21912g1 |
Quadratic twists by: -4 |