Cremona's table of elliptic curves

24240 = 2⁴ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 101-	Signs for the Atkin-Lehner involutions
Class	24240x	Isogeny class
Conductor	24240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	86400	Modular degree for the optimal curve
Δ	-804225024000 = -1 · 218 · 35 · 53 · 101	Discriminant
Eigenvalues	2- 3+ 5+ -3  5  0 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-120856,-16131344]	[a1,a2,a3,a4,a6]
Generators	[17100:2235584:1]	Generators of the group modulo torsion
j	-47661971896666009/196344000	j-invariant
L	3.7550203864572	L(r)(E,1)/r!
Ω	0.1280271559995	Real period
R	7.3324685632942	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3030i1 96960du1 72720cb1 121200dn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240x1

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	5	0	-1	-1	5	-6	-1	-8	9	-4	13	2	4	-14	-1	-6	-11	5	4	7	2

---

Quadratic twists for elliptic curve 24240x1

-4	8	-3	5
3030i1	96960du1	72720cb1	121200dn1

---

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