Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bu |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1495826841600 = 214 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7896,-266220] |
[a1,a2,a3,a4,a6] |
j |
13293525831769/365192100 |
j-invariant |
L |
2.0292324699994 |
L(r)(E,1)/r! |
Ω |
0.50730811749985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730f2 87360fa2 65520dz2 109200dr2 |
Quadratic twists by: -4 8 -3 5 |