Cremona's table of elliptic curves

7854 = 2 · 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11- 17+	Signs for the Atkin-Lehner involutions
Class	7854m	Isogeny class
Conductor	7854	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	472472268071958 = 2 · 33 · 74 · 118 · 17	Discriminant
Eigenvalues	2- 3+  2 7- 11-  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-19842,243993]	[a1,a2,a3,a4,a6]
j	863935691003495713/472472268071958	j-invariant
L	3.6602523835476	L(r)(E,1)/r!
Ω	0.45753154794345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	62832bk3 23562n3 54978cd3 86394d3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7854m3

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	-	-	2	+	-4	4	-10	0	10	6	4	8	6	0	2	4	4	14	-8	0	-18	-10

---

Quadratic twists for elliptic curve 7854m3

-4	-3	-7	-11
62832bk3	23562n3	54978cd3	86394d3

---

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