Cremona's table of elliptic curves

16590 = 2 · 3 · 5 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 79+	Signs for the Atkin-Lehner involutions
Class	16590o	Isogeny class
Conductor	16590	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-704877512640000 = -1 · 29 · 3 · 54 · 76 · 792	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5921,1286879]	[a1,a2,a3,a4,a6]
Generators	[179:-2540:1]	Generators of the group modulo torsion
j	-22956912537341329/704877512640000	j-invariant
L	5.9132782693143	L(r)(E,1)/r!
Ω	0.42452714862991	Real period
R	0.2579461725566	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	49770z2 82950w2 116130dp2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 16590o2

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	-2	4	4	-6	6	0	6	4	6	-8	-6	14	+	-12	0	2

---

Quadratic twists for elliptic curve 16590o2

-3	5	-7
49770z2	82950w2	116130dp2

---

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