Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872bb |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-867446923717718784 = -1 · 28 · 37 · 117 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5284,-44811996] |
[a1,a2,a3,a4,a6] |
Generators |
[400:4598:1] [532:10406:1] |
Generators of the group modulo torsion |
j |
35969456/1912699899 |
j-invariant |
L |
8.9429530356644 |
L(r)(E,1)/r! |
Ω |
0.12941826502738 |
Real period |
R |
1.4396076282512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352b1 |
Quadratic twists by: -11 |