Cremona's table of elliptic curves

20010 = 2 · 3 · 5 · 23 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 23- 29+	Signs for the Atkin-Lehner involutions
Class	20010l	Isogeny class
Conductor	20010	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-213760320106680 = -1 · 23 · 33 · 5 · 234 · 294	Discriminant
Eigenvalues	2+ 3- 5+ -4 -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3509,707672]	[a1,a2,a3,a4,a6]
Generators	[30:778:1]	Generators of the group modulo torsion
j	-4776347226041929/213760320106680	j-invariant
L	3.0124861413151	L(r)(E,1)/r!
Ω	0.4662431888629	Real period
R	1.0768651114819	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	60030bn3 100050bn3	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 20010l4

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

---

Quadratic twists for elliptic curve 20010l4

-3	5
60030bn3	100050bn3

---

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