Cremona's table of elliptic curves

798 = 2 · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	798h	Isogeny class
Conductor	798	Conductor
∏ cp	168	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	8339853312 = 212 · 37 · 72 · 19	Discriminant
Eigenvalues	2- 3- -4 7+ -6 -4 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1015,11561]	[a1,a2,a3,a4,a6]
Generators	[-10:149:1]	Generators of the group modulo torsion
j	115650783909361/8339853312	j-invariant
L	2.9833490047509	L(r)(E,1)/r!
Ω	1.2821112155505	Real period
R	0.055402462983865	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	6384ba1 25536k1 2394d1 19950j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798h1

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

---

Quadratic twists for elliptic curve 798h1

-4	8	-3	5	-7	-11	-19
6384ba1	25536k1	2394d1	19950j1	5586x1	96558bo1	15162g1

---

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