Cremona's table of elliptic curves

18960 = 2⁴ · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 79-	Signs for the Atkin-Lehner involutions
Class	18960p	Isogeny class
Conductor	18960	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	16771973529600 = 214 · 38 · 52 · 792	Discriminant
Eigenvalues	2- 3+ 5- -4 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6400,6400]	[a1,a2,a3,a4,a6]
Generators	[-78:158:1] [-48:448:1]	Generators of the group modulo torsion
j	7078993977601/4094720100	j-invariant
L	6.0286542274318	L(r)(E,1)/r!
Ω	0.58799589553248	Real period
R	5.1264424405324	Regulator
r	2	Rank of the group of rational points
S	0.99999999999979	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2370n2 75840ck2 56880bl2 94800dc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960p2

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

---

Quadratic twists for elliptic curve 18960p2

-4	8	-3	5
2370n2	75840ck2	56880bl2	94800dc2

---

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