Cremona's table of elliptic curves

1794 = 2 · 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 23+	Signs for the Atkin-Lehner involutions
Class	1794j	Isogeny class
Conductor	1794	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	567517548 = 22 · 3 · 132 · 234	Discriminant
Eigenvalues	2- 3-  2 -4  4 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10827,-434523]	[a1,a2,a3,a4,a6]
j	140362349594221873/567517548	j-invariant
L	3.7442290107242	L(r)(E,1)/r!
Ω	0.46802862634052	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	14352w4 57408k4 5382g4 44850d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1794j3

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

---

Quadratic twists for elliptic curve 1794j3

-4	8	-3	5	-7	13	-23
14352w4	57408k4	5382g4	44850d4	87906bc4	23322i4	41262y4

---

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