Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	18480bc	Isogeny class
Conductor	18480	Conductor
∏ cp	1024	Product of Tamagawa factors cp
Δ	147609025280640000 = 210 · 38 · 54 · 74 · 114	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11-  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-32016600,69717923748]	[a1,a2,a3,a4,a6]
j	3544454449806874081077604/144149438750625	j-invariant
L	3.8668549703311	L(r)(E,1)/r!
Ω	0.24167843564569	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	9240w3 73920eh4 55440i4 92400be4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bc4

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

---

Quadratic twists for elliptic curve 18480bc4

-4	8	-3	5	-7
9240w3	73920eh4	55440i4	92400be4	129360bf4

---

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