Cremona's table of elliptic curves

20064 = 2⁵ · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	20064m	Isogeny class
Conductor	20064	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	7168	Modular degree for the optimal curve
Δ	25160256 = 26 · 32 · 112 · 192	Discriminant
Eigenvalues	2+ 3-  2 -4 11- -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-142,560]	[a1,a2,a3,a4,a6]
j	4982686912/393129	j-invariant
L	2.0749859111458	L(r)(E,1)/r!
Ω	2.0749859111458	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20064b1 40128bg2 60192t1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 20064m1

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
+	-	2	-4	-	-2	-2	-	-8	-6	8	10	-10	-4	8	-6	12	14	12	4	-6	-8	-12	-18	10

---

Quadratic twists for elliptic curve 20064m1

-4	8	-3
20064b1	40128bg2	60192t1

---

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