Cremona's table of elliptic curves

6090 = 2 · 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 29+	Signs for the Atkin-Lehner involutions
Class	6090p	Isogeny class
Conductor	6090	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-1003851240 = -1 · 23 · 3 · 5 · 73 · 293	Discriminant
Eigenvalues	2+ 3- 5- 7-  3  2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,67,-1504]	[a1,a2,a3,a4,a6]
j	33980740919/1003851240	j-invariant
L	2.2605705177665	L(r)(E,1)/r!
Ω	0.75352350592216	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	48720bm2 18270br2 30450bu2 42630d2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090p2

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
+	-	-	-	3	2	3	-7	-6	+	-4	2	0	11	12	-6	-3	14	-4	9	8	17	18	6	-10

---

Quadratic twists for elliptic curve 6090p2

-4	-3	5	-7
48720bm2	18270br2	30450bu2	42630d2

---

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