Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bd |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5.5800568715674E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2504936,1019105136] |
[a1,a2,a3,a4,a6] |
Generators |
[-742:49686:1] |
Generators of the group modulo torsion |
j |
424378956393532177129/136231857216000000 |
j-invariant |
L |
3.644933026092 |
L(r)(E,1)/r! |
Ω |
0.15143543721342 |
Real period |
R |
2.0057684279864 |
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 |
2730n6 87360gr6 65520du6 109200fy6 |
Quadratic twists by: -4 8 -3 5 |