Cremona's table of elliptic curves

1968 = 2⁴ · 3 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41-	Signs for the Atkin-Lehner involutions
Class	1968o	Isogeny class
Conductor	1968	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	-1031798784 = -1 · 223 · 3 · 41	Discriminant
Eigenvalues	2- 3-  3  2 -2  1  5  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-664,6548]	[a1,a2,a3,a4,a6]
j	-7916293657/251904	j-invariant
L	3.1008357581493	L(r)(E,1)/r!
Ω	1.5504178790746	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	246g1 7872ba1 5904n1 49200bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1968o1

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
-	-	3	2	-2	1	5	1	-6	8	-3	-6	-	4	12	-14	-3	10	7	3	1	-12	-7	-15	-10

---

Quadratic twists for elliptic curve 1968o1

-4	8	-3	5	-7	41
246g1	7872ba1	5904n1	49200bz1	96432bg1	80688p1

---

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