Atkin-Lehner |
43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86903a |
Isogeny class |
Conductor |
86903 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664960 |
Modular degree for the optimal curve |
Δ |
-1110227079768486187 = -1 · 439 · 472 |
Discriminant |
Eigenvalues |
0 2 4 4 -3 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,212019,33959059] |
[a1,a2,a3,a4,a6] |
Generators |
[6205:834761:125] |
Generators of the group modulo torsion |
j |
2097152/2209 |
j-invariant |
L |
11.490016214012 |
L(r)(E,1)/r! |
Ω |
0.18219888435256 |
Real period |
R |
3.9414402316716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000023554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86903b1 |
Quadratic twists by: -43 |