Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124384m |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
2124413791552 = 26 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4225,79092] |
[a1,a2,a3,a4,a6] |
Generators |
[1028:7935:64] |
Generators of the group modulo torsion |
j |
27000000/6877 |
j-invariant |
L |
8.1180261619615 |
L(r)(E,1)/r! |
Ω |
0.77239736458834 |
Real period |
R |
5.2550840553601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124384a1 9568a1 |
Quadratic twists by: -4 13 |