Cremona's table of elliptic curves

4560 = 2⁴ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 19+	Signs for the Atkin-Lehner involutions
Class	4560h	Isogeny class
Conductor	4560	Conductor
∏ cp	560	Product of Tamagawa factors cp
Δ	15790140000000000 = 211 · 37 · 510 · 192	Discriminant
Eigenvalues	2+ 3- 5- -2  0 -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-73520,-4749132]	[a1,a2,a3,a4,a6]
Generators	[-194:1500:1]	Generators of the group modulo torsion
j	21459330184836962/7710029296875	j-invariant
L	4.4469887008643	L(r)(E,1)/r!
Ω	0.29858642546481	Real period
R	0.10638194605373	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	2280f2 18240bx2 13680i2 22800b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560h2

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	0	-2	4	+	-4	-6	-10	-10	0	-4	-4	10	6	10	4	-8	-2	6	-6	4	2

---

Quadratic twists for elliptic curve 4560h2

-4	8	-3	5	-19
2280f2	18240bx2	13680i2	22800b2	86640m2

---

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