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	4560d	Isogeny class
Conductor	4560	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1565205169858560 = -1 · 211 · 32 · 5 · 198	Discriminant
Eigenvalues	2+ 3+ 5-  0 -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-41520,3785760]	[a1,a2,a3,a4,a6]
Generators	[-68:2508:1]	Generators of the group modulo torsion
j	-3865238121540962/764260336845	j-invariant
L	3.2655213120948	L(r)(E,1)/r!
Ω	0.45610982768455	Real period
R	1.7898766447723	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2280i6 18240ch6 13680m6 22800bc5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560d6

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
+	+	-	0	-4	-2	2	-	0	6	0	6	-6	-4	-8	6	12	-2	-4	-8	-6	-16	4	-6	10

---

Quadratic twists for elliptic curve 4560d6

-4	8	-3	5	-19
2280i6	18240ch6	13680m6	22800bc5	86640bb5

---

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