Atkin-Lehner |
43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86903d |
Isogeny class |
Conductor |
86903 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161920 |
Modular degree for the optimal curve |
Δ |
-387968797267 = -1 · 433 · 474 |
Discriminant |
Eigenvalues |
2 2 2 2 3 3 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1018,26899] |
[a1,a2,a3,a4,a6] |
Generators |
[13886314:261766729:39304] |
Generators of the group modulo torsion |
j |
1466003456/4879681 |
j-invariant |
L |
24.559141304904 |
L(r)(E,1)/r! |
Ω |
0.67262490765449 |
Real period |
R |
9.1280968868737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86903e1 |
Quadratic twists by: -43 |