Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bw |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-6638520827904 = -1 · 216 · 3 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34904,2524656] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/13776 |
j-invariant |
L |
2.9953671271556 |
L(r)(E,1)/r! |
Ω |
0.74884173733958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054t1 13776u1 |
Quadratic twists by: -4 -7 |