Cremona's table of elliptic curves

1139 = 17 · 67

Field	Data	Notes
Atkin-Lehner	17- 67-	Signs for the Atkin-Lehner involutions
Class	1139b	Isogeny class
Conductor	1139	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1617217123 = -1 · 176 · 67	Discriminant
Eigenvalues	-1 -2 -4 -2  2  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,255,1156]	[a1,a2,a3,a4,a6]
Generators	[0:34:1]	Generators of the group modulo torsion
j	1833318007919/1617217123	j-invariant
L	0.83648513750905	L(r)(E,1)/r!
Ω	0.97686370993309	Real period
R	0.57086444369764	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	18224j2 72896f2 10251i2 28475c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1139b2

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
-1	-2	-4	-2	2	2	-	4	0	-2	-10	-10	12	4	8	10	-12	4	-	-12	-10	10	4	10	12

---

Quadratic twists for elliptic curve 1139b2

-4	8	-3	5	-7	17	-67
18224j2	72896f2	10251i2	28475c2	55811i2	19363b2	76313c2

---

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