Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840a |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4292870400 = 28 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-796,8320] |
[a1,a2,a3,a4,a6] |
Generators |
[4:72:1] |
Generators of the group modulo torsion |
j |
218156637904/16769025 |
j-invariant |
L |
3.8949076962958 |
L(r)(E,1)/r! |
Ω |
1.3529836246184 |
Real period |
R |
1.4393772494454 |
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 |
10920h2 87360ha2 65520be2 109200ca2 |
Quadratic twists by: -4 8 -3 5 |