Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bc |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7631769600 = 212 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616,-3920] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:42:1] |
Generators of the group modulo torsion |
j |
6321363049/1863225 |
j-invariant |
L |
3.6623515811907 |
L(r)(E,1)/r! |
Ω |
0.97988703056733 |
Real period |
R |
0.93438107326266 |
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 |
1365e2 87360gq2 65520dt2 109200fw2 |
Quadratic twists by: -4 8 -3 5 |