Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840p |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
476985600 = 28 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] |
Generators of the group modulo torsion |
j |
3269383504/1863225 |
j-invariant |
L |
6.5658859590008 |
L(r)(E,1)/r! |
Ω |
1.3795284429508 |
Real period |
R |
2.3797573701911 |
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 |
10920k2 87360fs2 65520bn2 109200k2 |
Quadratic twists by: -4 8 -3 5 |