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	798g	Isogeny class
Conductor	798	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	1032471552 = 210 · 3 · 72 · 193	Discriminant
Eigenvalues	2- 3+ -2 7+  2 -6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-354,-2193]	[a1,a2,a3,a4,a6]
Generators	[-9:23:1]	Generators of the group modulo torsion
j	4906933498657/1032471552	j-invariant
L	2.5627859694692	L(r)(E,1)/r!
Ω	1.1169891798824	Real period
R	0.15295797044569	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	6384bd1 25536ba1 2394e1 19950x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798g1

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	-6	-4	-	-4	-2	-6	-4	6	-4	-6	6	4	-6	-14	8	10	0	8	6	16

---

Quadratic twists for elliptic curve 798g1

-4	8	-3	5	-7	-11	-19
6384bd1	25536ba1	2394e1	19950x1	5586z1	96558u1	15162k1

---

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