Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840v |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1907942400 = 210 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3640,83300] |
[a1,a2,a3,a4,a6] |
Generators |
[8:234:1] |
Generators of the group modulo torsion |
j |
5210113839844/1863225 |
j-invariant |
L |
7.0493439751957 |
L(r)(E,1)/r! |
Ω |
1.4520485133926 |
Real period |
R |
1.2136894721798 |
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 |
10920m2 87360en2 65520z2 109200a2 |
Quadratic twists by: -4 8 -3 5 |