Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48504h |
Isogeny class |
Conductor |
48504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-873072 = -1 · 24 · 33 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 1 -6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,153] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-780448000/54567 |
j-invariant |
L |
6.2970755147561 |
L(r)(E,1)/r! |
Ω |
2.7605674937593 |
Real period |
R |
1.140540039142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008k1 |
Quadratic twists by: -4 |