Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1518m |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
371764272 = 24 · 3 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-198,-621] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:27:1] |
Generators of the group modulo torsion |
j |
858729462625/371764272 |
j-invariant |
L |
3.3203986285964 |
L(r)(E,1)/r! |
Ω |
1.3238042478457 |
Real period |
R |
0.62705619694149 |
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 |
12144bk2 48576br2 4554l2 37950x2 |
Quadratic twists by: -4 8 -3 5 |