Cremona's table of elliptic curves

19920 = 2⁴ · 3 · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 83+	Signs for the Atkin-Lehner involutions
Class	19920k	Isogeny class
Conductor	19920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2915839242240 = -1 · 212 · 3 · 5 · 834	Discriminant
Eigenvalues	2- 3- 5+  0  0  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1016,-83436]	[a1,a2,a3,a4,a6]
Generators	[28452:923590:27]	Generators of the group modulo torsion
j	-28344726649/711874815	j-invariant
L	5.9103870451168	L(r)(E,1)/r!
Ω	0.34801555544449	Real period
R	8.491555840899	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	1245a4 79680bk3 59760bl3 99600bt3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19920k4

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	0	2	-2	4	-8	6	-8	-2	2	0	0	10	0	14	-8	-8	-10	-8	+	-10	-2

---

Quadratic twists for elliptic curve 19920k4

-4	8	-3	5
1245a4	79680bk3	59760bl3	99600bt3

---

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