Atkin-Lehner |
2- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20468d |
Isogeny class |
Conductor |
20468 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-8115725744 = -1 · 24 · 74 · 173 · 43 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ -6 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92,4321] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:17:1] [-10:49:1] |
Generators of the group modulo torsion |
j |
5382291456/507232859 |
j-invariant |
L |
4.4265025380246 |
L(r)(E,1)/r! |
Ω |
1.0048517667014 |
Real period |
R |
0.24472943753222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872bi1 |
Quadratic twists by: -4 |