Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990j |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1014904687500 = -1 · 22 · 310 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1057,-46893] |
[a1,a2,a3,a4,a6] |
Generators |
[47:300:1] |
Generators of the group modulo torsion |
j |
179310732119/1392187500 |
j-invariant |
L |
3.0722751578185 |
L(r)(E,1)/r! |
Ω |
0.43565054105539 |
Real period |
R |
1.7630387594468 |
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 |
7920be4 31680by3 330e4 4950l4 |
Quadratic twists by: -4 8 -3 5 |