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	18480f	Isogeny class
Conductor	18480	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	1245090000 = 24 · 3 · 54 · 73 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-41511,3269190]	[a1,a2,a3,a4,a6]
Generators	[134:308:1]	Generators of the group modulo torsion
j	494428821070157824/77818125	j-invariant
L	4.2380924363151	L(r)(E,1)/r!
Ω	1.2015828702639	Real period
R	1.1756970856795	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	9240z1 73920hz1 55440bj1 92400bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480f1

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	-2	0	4	6	-4	-2	-10	-4	0	-6	12	-2	-4	0	-2	-16	4	14	-2

---

Quadratic twists for elliptic curve 18480f1

-4	8	-3	5	-7
9240z1	73920hz1	55440bj1	92400bz1	129360db1

---

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