Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602b |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4981266888 = 23 · 3 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-930179,-345688923] |
[a1,a2,a3,a4,a6] |
Generators |
[-50778855:25394219:91125] |
Generators of the group modulo torsion |
j |
18440127492397057/1032 |
j-invariant |
L |
2.7031768393293 |
L(r)(E,1)/r! |
Ω |
0.1537297288804 |
Real period |
R |
8.7919781652218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258d3 |
Quadratic twists by: 13 |