Atkin-Lehner |
2- 3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
43260g |
Isogeny class |
Conductor |
43260 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
519433935224400 = 24 · 37 · 52 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71085,7188300] |
[a1,a2,a3,a4,a6] |
Generators |
[105:945:1] |
Generators of the group modulo torsion |
j |
2482811465287991296/32464620951525 |
j-invariant |
L |
7.178144357479 |
L(r)(E,1)/r! |
Ω |
0.52322568480345 |
Real period |
R |
0.1633216831202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129780j1 |
Quadratic twists by: -3 |