Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gq |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-216714350511783936 = -1 · 218 · 310 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151851,-31943590] |
[a1,a2,a3,a4,a6] |
Generators |
[533:6208:1] |
Generators of the group modulo torsion |
j |
-1102302937/616896 |
j-invariant |
L |
3.9872570602384 |
L(r)(E,1)/r! |
Ω |
0.11786494925694 |
Real period |
R |
4.2286288995715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994cz1 39984bt1 17136x1 |
Quadratic twists by: -4 -3 -7 |