Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600dj |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15972000000 = 28 · 3 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4308,-110112] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2400:1] |
Generators of the group modulo torsion |
j |
1661168/3 |
j-invariant |
L |
7.3524598519235 |
L(r)(E,1)/r! |
Ω |
0.58934464722482 |
Real period |
R |
3.1189134773633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904a2 72600bc2 |
Quadratic twists by: 5 -11 |