Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840i |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-183456000000 = -1 · 211 · 32 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,20832] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-300:1] |
Generators of the group modulo torsion |
j |
-1775007362/89578125 |
j-invariant |
L |
4.8210835070037 |
L(r)(E,1)/r! |
Ω |
0.83832850137912 |
Real period |
R |
0.23961785759166 |
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 |
10920s2 87360gk2 65520w2 109200bq2 |
Quadratic twists by: -4 8 -3 5 |