Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560bd |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
600519168000 = 212 · 32 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96120,11438100] |
[a1,a2,a3,a4,a6] |
Generators |
[180:30:1] |
Generators of the group modulo torsion |
j |
23977812996389881/146611125 |
j-invariant |
L |
4.179577021365 |
L(r)(E,1)/r! |
Ω |
0.81614517334449 |
Real period |
R |
0.85351992878046 |
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 |
285c3 18240bt4 13680bg3 22800ch4 |
Quadratic twists by: -4 8 -3 5 |