Cremona's table of elliptic curves

1984 = 2⁶ · 31

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Class	1984j	Isogeny class
Conductor	1984	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	16252928 = 219 · 31	Discriminant
Eigenvalues	2-  0  2  0  0 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-21164,-1185072]	[a1,a2,a3,a4,a6]
Generators	[3982011348:4048997280:23639903]	Generators of the group modulo torsion
j	3999236143617/62	j-invariant
L	3.1976448954871	L(r)(E,1)/r!
Ω	0.39582217135011	Real period
R	16.156977182861	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	1984b4 496f3 17856ce4 49600bw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1984j3

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

---

Quadratic twists for elliptic curve 1984j3

-4	8	-3	5	-7	-31
1984b4	496f3	17856ce4	49600bw4	97216bn4	61504bm4

---

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