Cremona's table of elliptic curves

3230 = 2 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 17+ 19-	Signs for the Atkin-Lehner involutions
Class	3230f	Isogeny class
Conductor	3230	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	3080	Modular degree for the optimal curve
Δ	-17265461120 = -1 · 27 · 5 · 175 · 19	Discriminant
Eigenvalues	2-  1 5-  4 -5  4 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,405,-5455]	[a1,a2,a3,a4,a6]
j	7345506701519/17265461120	j-invariant
L	4.4620422911912	L(r)(E,1)/r!
Ω	0.63743461302731	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	25840ba1 103360c1 29070n1 16150l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3230f1

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	-	4	-5	4	+	-	3	2	7	5	1	-3	10	-2	8	-2	-2	-3	7	-11	11	-4	0

---

Quadratic twists for elliptic curve 3230f1

-4	8	-3	5	17	-19
25840ba1	103360c1	29070n1	16150l1	54910w1	61370j1

---

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