Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840v |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-3236163840000 = -1 · 211 · 34 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3120,108468] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:420:1] |
Generators of the group modulo torsion |
j |
-1640577425762/1580158125 |
j-invariant |
L |
7.0493439751957 |
L(r)(E,1)/r! |
Ω |
0.72602425669632 |
Real period |
R |
0.60684473608988 |
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 |
10920m4 87360en3 65520z3 109200a3 |
Quadratic twists by: -4 8 -3 5 |