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
Δ	773540010432 = 26 · 314 · 7 · 192	Discriminant
Eigenvalues	2- 3- -4 7+ -6 -4 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3255,-57879]	[a1,a2,a3,a4,a6]
Generators	[84:-555:1]	Generators of the group modulo torsion
j	3814038123905521/773540010432	j-invariant
L	2.9833490047509	L(r)(E,1)/r!
Ω	0.64105560777525	Real period
R	0.11080492596773	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	6384ba2 25536k2 2394d2 19950j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798h2

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 798h2

-4	8	-3	5	-7	-11	-19
6384ba2	25536k2	2394d2	19950j2	5586x2	96558bo2	15162g2

---

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