Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119196n |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5736960 |
Modular degree for the optimal curve |
Δ |
-36560692410214896 = -1 · 24 · 311 · 73 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77813697,-264199619707] |
[a1,a2,a3,a4,a6] |
Generators |
[10984651563934462653044:656135891495296963170273:920062925904135131] |
Generators of the group modulo torsion |
j |
-4467292093996300181426944/3134490090039 |
j-invariant |
L |
9.503892505527 |
L(r)(E,1)/r! |
Ω |
0.025415903133348 |
Real period |
R |
31.161239400857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39732c1 |
Quadratic twists by: -3 |