Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180l |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
145493433137250000 = 24 · 33 · 56 · 116 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164961,18062460] |
[a1,a2,a3,a4,a6] |
Generators |
[26376:828750:343] |
Generators of the group modulo torsion |
j |
31027744327833370624/9093339571078125 |
j-invariant |
L |
6.0704780113486 |
L(r)(E,1)/r! |
Ω |
0.30296830829883 |
Real period |
R |
6.6788921977069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720bm3 45540y3 75900f3 |
Quadratic twists by: -4 -3 5 |