Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cu |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-5210304921206784 = -1 · 225 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 2 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21492,-3254256] |
[a1,a2,a3,a4,a6] |
j |
212776173/1009792 |
j-invariant |
L |
1.7351574576387 |
L(r)(E,1)/r! |
Ω |
0.21689468740473 |
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 |
92736t1 23184t1 92736db1 |
Quadratic twists by: -4 8 -3 |