Cremona's table of elliptic curves

966 = 2 · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	966g	Isogeny class
Conductor	966	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	637608031452 = 22 · 316 · 7 · 232	Discriminant
Eigenvalues	2- 3+ -2 7- -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-79134,-8601153]	[a1,a2,a3,a4,a6]
Generators	[-4389:2371:27]	Generators of the group modulo torsion
j	54804145548726848737/637608031452	j-invariant
L	2.7656988558768	L(r)(E,1)/r!
Ω	0.28464859833293	Real period
R	4.8580932280614	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	7728r5 30912y6 2898i5 24150bc6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966g5

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

---

Quadratic twists for elliptic curve 966g5

-4	8	-3	5	-7	-11	-23
7728r5	30912y6	2898i5	24150bc6	6762bh5	116886b6	22218t6

---

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