Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bb |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-17805312 = -1 · 212 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280,41904] |
[a1,a2,a3,a4,a6] |
Generators |
[28:4:1] [33:51:1] |
Generators of the group modulo torsion |
j |
-11852352000/161 |
j-invariant |
L |
8.971528377829 |
L(r)(E,1)/r! |
Ω |
1.9918632732186 |
Real period |
R |
1.1260221143758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368f1 92736a1 46368c1 |
Quadratic twists by: -4 8 -3 |