Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20468a |
Isogeny class |
Conductor |
20468 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-8115725744 = -1 · 24 · 74 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 0 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875248,-315169951] |
[a1,a2,a3,a4,a6] |
Generators |
[389630436588:10782740816911:260917119] |
Generators of the group modulo torsion |
j |
-4634438364034004680704/507232859 |
j-invariant |
L |
8.489239986716 |
L(r)(E,1)/r! |
Ω |
0.078043507076594 |
Real period |
R |
18.129289470945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872ba1 |
Quadratic twists by: -4 |