Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1518f |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
196663299888 = 24 · 3 · 114 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1589,-12483] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:123:1] |
Generators of the group modulo torsion |
j |
444142553850073/196663299888 |
j-invariant |
L |
2.0198636923892 |
L(r)(E,1)/r! |
Ω |
0.78771442666572 |
Real period |
R |
1.2821040366996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12144bd3 48576bh3 4554z3 37950cs3 |
Quadratic twists by: -4 8 -3 5 |