Cremona's table of elliptic curves

14196 = 2² · 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	14196j	Isogeny class
Conductor	14196	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-58663072499496192 = -1 · 28 · 32 · 74 · 139	Discriminant
Eigenvalues	2- 3-  0 7+ -4 13- -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,69572,9291764]	[a1,a2,a3,a4,a6]
j	13718000/21609	j-invariant
L	1.9170020499207	L(r)(E,1)/r!
Ω	0.23962525624008	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	56784cd2 42588l2 99372u2 14196o2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196j2

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	+	-4	-	-6	8	4	2	0	-8	0	-8	4	-10	4	6	8	-4	4	12	12	16	4

---

Quadratic twists for elliptic curve 14196j2

-4	-3	-7	13
56784cd2	42588l2	99372u2	14196o2

---

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