Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14100a |
Isogeny class |
Conductor |
14100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-397620000000 = -1 · 28 · 32 · 57 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,-30488] |
[a1,a2,a3,a4,a6] |
Generators |
[57:350:1] |
Generators of the group modulo torsion |
j |
-3631696/99405 |
j-invariant |
L |
3.8772990423814 |
L(r)(E,1)/r! |
Ω |
0.41155063789723 |
Real period |
R |
2.3552988899446 |
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 |
56400cj2 42300i2 2820f2 |
Quadratic twists by: -4 -3 5 |