Atkin-Lehner |
2+ 3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624f |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387840 |
Modular degree for the optimal curve |
Δ |
-759156303922176 = -1 · 210 · 3 · 412 · 435 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -5 -5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21768,486084] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:366:1] |
Generators of the group modulo torsion |
j |
1113933822292508/741363578049 |
j-invariant |
L |
5.5118906665915 |
L(r)(E,1)/r! |
Ω |
0.31715831209925 |
Real period |
R |
4.3447471315445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312d1 |
Quadratic twists by: -4 |