Cremona's table of elliptic curves

1349 = 19 · 71

Field	Data	Notes
Atkin-Lehner	19+ 71-	Signs for the Atkin-Lehner involutions
Class	1349b	Isogeny class
Conductor	1349	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4068	Modular degree for the optimal curve
Δ	-1626668684503939 = -1 · 199 · 712	Discriminant
Eigenvalues	0  0 -1 -3 -3 -2  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,29362,-123483]	[a1,a2,a3,a4,a6]
j	2799500923617509376/1626668684503939	j-invariant
L	0.56163523752336	L(r)(E,1)/r!
Ω	0.28081761876168	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21584c1 86336h1 12141c1 33725b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1349b1

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	-1	-3	-3	-2	3	+	8	4	-8	10	-2	7	11	0	-14	-11	8	-	-11	6	-4	12	8

---

Quadratic twists for elliptic curve 1349b1

-4	8	-3	5	-7	-19	-71
21584c1	86336h1	12141c1	33725b1	66101j1	25631c1	95779b1

---

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