Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bg |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33552546693120 = 215 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45696,3764736] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1296:1] |
Generators of the group modulo torsion |
j |
2576367579235969/8191539720 |
j-invariant |
L |
4.578655847303 |
L(r)(E,1)/r! |
Ω |
0.65787472775093 |
Real period |
R |
0.86997107012989 |
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 |
2730y3 87360hj4 65520eg4 109200fo4 |
Quadratic twists by: -4 8 -3 5 |