Cremona's table of elliptic curves

1122 = 2 · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 17+	Signs for the Atkin-Lehner involutions
Class	1122d	Isogeny class
Conductor	1122	Conductor
∏ cp	28	Product of Tamagawa factors cp
Δ	78708537864 = 23 · 314 · 112 · 17	Discriminant
Eigenvalues	2+ 3- -2 -2 11-  0 17+  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1227,-9650]	[a1,a2,a3,a4,a6]
Generators	[-10:45:1]	Generators of the group modulo torsion
j	204055591784617/78708537864	j-invariant
L	2.0021473275332	L(r)(E,1)/r!
Ω	0.83354023824562	Real period
R	0.34314005931191	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	8976p2 35904f2 3366n2 28050ci2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122d2

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

---

Quadratic twists for elliptic curve 1122d2

-4	8	-3	5	-7	-11	17
8976p2	35904f2	3366n2	28050ci2	54978l2	12342bf2	19074a2

---

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