Cremona's table of elliptic curves

19680 = 2⁵ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 41-	Signs for the Atkin-Lehner involutions
Class	19680bd	Isogeny class
Conductor	19680	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	325527667200 = 29 · 32 · 52 · 414	Discriminant
Eigenvalues	2- 3- 5-  0  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2960,54600]	[a1,a2,a3,a4,a6]
Generators	[75:510:1]	Generators of the group modulo torsion
j	5603709294728/635796225	j-invariant
L	6.6975773865311	L(r)(E,1)/r!
Ω	0.93319891659152	Real period
R	3.5885046946871	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	19680t2 39360bs3 59040f3 98400d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680bd3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-	0	4	-6	-6	4	0	-6	8	-10	-	8	-8	2	0	-2	4	0	-6	0	0	2	2

---

Quadratic twists for elliptic curve 19680bd3

-4	8	-3	5
19680t2	39360bs3	59040f3	98400d3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations