Cremona's table of elliptic curves

1092 = 2² · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	1092a	Isogeny class
Conductor	1092	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	17882871552 = 28 · 310 · 7 · 132	Discriminant
Eigenvalues	2- 3+  0 7+ -2 13+  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6228,191160]	[a1,a2,a3,a4,a6]
j	104375673106000/69854967	j-invariant
L	1.2160167144264	L(r)(E,1)/r!
Ω	1.2160167144264	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4368x2 17472x2 3276e2 27300t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1092a2

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	+	-2	+	4	4	2	6	0	10	4	-4	0	10	4	-2	0	-6	14	-4	16	12	6

---

Quadratic twists for elliptic curve 1092a2

-4	8	-3	5	-7	13
4368x2	17472x2	3276e2	27300t2	7644h2	14196d2

---

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