Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ev |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2473338884308992 = 214 · 38 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-362545,83866799] |
[a1,a2,a3,a4,a6] |
Generators |
[47455:-130536:125] [-646:6993:1] |
Generators of the group modulo torsion |
j |
321655313992678864/150960625263 |
j-invariant |
L |
9.1089875406446 |
L(r)(E,1)/r! |
Ω |
0.45123134324121 |
Real period |
R |
0.25233695744665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728h2 12432bm2 |
Quadratic twists by: -4 8 |