Cremona's table of elliptic curves

15840 = 2⁵ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	15840o	Isogeny class
Conductor	15840	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	5419560960 = 212 · 37 · 5 · 112	Discriminant
Eigenvalues	2+ 3- 5+ -4 11-  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-588,-4192]	[a1,a2,a3,a4,a6]
Generators	[-14:36:1]	Generators of the group modulo torsion
j	7529536/1815	j-invariant
L	3.8030134126332	L(r)(E,1)/r!
Ω	0.98650876399656	Real period
R	0.48187780375442	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	15840u2 31680bm1 5280m2 79200ef2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15840o2

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	-	0	2	2	-4	0	4	2	-12	-4	8	-10	12	-2	-4	8	0	10	6	14	-10

---

Quadratic twists for elliptic curve 15840o2

-4	8	-3	5
15840u2	31680bm1	5280m2	79200ef2

---

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