Atkin-Lehner |
2+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150a |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
188256782656250 = 2 · 57 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279917,-56928509] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:214:1] |
Generators of the group modulo torsion |
j |
155235978581657121/12048434090 |
j-invariant |
L |
3.4153932118926 |
L(r)(E,1)/r! |
Ω |
0.2075602502977 |
Real period |
R |
4.1137371029645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000010441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630x3 |
Quadratic twists by: 5 |