Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48412p |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-22782493552 = -1 · 24 · 78 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702,-9967] |
[a1,a2,a3,a4,a6] |
Generators |
[56:351:1] |
Generators of the group modulo torsion |
j |
-20353792/12103 |
j-invariant |
L |
10.338870139676 |
L(r)(E,1)/r! |
Ω |
0.4514001752417 |
Real period |
R |
3.8173335275187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916a1 |
Quadratic twists by: -7 |