Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640by |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-93934558642176000 = -1 · 230 · 33 · 53 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7680,-14745600] |
[a1,a2,a3,a4,a6] |
j |
-12232183057921/22933241856000 |
j-invariant |
L |
1.8367216040967 |
L(r)(E,1)/r! |
Ω |
0.15306013367232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bk1 115920cy1 |
Quadratic twists by: -4 -3 |