Cremona's table of elliptic curves

20880 = 2⁴ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	20880bx	Isogeny class
Conductor	20880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-355087618560000 = -1 · 212 · 314 · 54 · 29	Discriminant
Eigenvalues	2- 3- 5+ -4 -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,16197,438698]	[a1,a2,a3,a4,a6]
Generators	[-1:650:1]	Generators of the group modulo torsion
j	157376536199/118918125	j-invariant
L	3.6654424629955	L(r)(E,1)/r!
Ω	0.34438935262934	Real period
R	2.6608273709761	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1305d4 83520gp3 6960bf4 104400ee3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bx4

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
-	-	+	-4	-4	6	-6	4	-4	+	8	2	6	-4	0	10	-12	-10	-8	-8	-2	0	8	6	-2

---

Quadratic twists for elliptic curve 20880bx4

-4	8	-3	5
1305d4	83520gp3	6960bf4	104400ee3

---

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