Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bd |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6032064719163E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15944936,-23731998864] |
[a1,a2,a3,a4,a6] |
Generators |
[5650:257894:1] |
Generators of the group modulo torsion |
j |
109454124781830273937129/3914078300576808000 |
j-invariant |
L |
3.644933026092 |
L(r)(E,1)/r! |
Ω |
0.075717718606712 |
Real period |
R |
4.0115368559728 |
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 |
2730n8 87360gr8 65520du8 109200fy8 |
Quadratic twists by: -4 8 -3 5 |