Atkin-Lehner |
2- 3- 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870bf |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2590520279040000 = 218 · 36 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42467,2323491] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2094:1] |
Generators of the group modulo torsion |
j |
11618266732968169/3553525760000 |
j-invariant |
L |
12.065177209094 |
L(r)(E,1)/r! |
Ω |
0.42270064396727 |
Real period |
R |
0.39643163095671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430c1 |
Quadratic twists by: -3 |