Cremona's table of elliptic curves

2070 = 2 · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	2070h	Isogeny class
Conductor	2070	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-241444800 = -1 · 26 · 38 · 52 · 23	Discriminant
Eigenvalues	2+ 3- 5- -2  2 -6  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,36,-752]	[a1,a2,a3,a4,a6]
Generators	[17:59:1]	Generators of the group modulo torsion
j	6967871/331200	j-invariant
L	2.3137195474262	L(r)(E,1)/r!
Ω	0.84224513177859	Real period
R	0.68677142203846	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	16560ce1 66240bi1 690h1 10350bp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2070h1

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	2	-6	4	0	+	-2	0	-8	6	-4	0	-6	0	-8	-4	-16	6	14	-14	8	-6

---

Quadratic twists for elliptic curve 2070h1

-4	8	-3	5	-7	-23
16560ce1	66240bi1	690h1	10350bp1	101430x1	47610q1

---

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