Cremona's table of elliptic curves

11840 = 2⁶ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 5- 37-	Signs for the Atkin-Lehner involutions
Class	11840bk	Isogeny class
Conductor	11840	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4913000611840 = -1 · 219 · 5 · 374	Discriminant
Eigenvalues	2-  0 5-  0 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1588,103824]	[a1,a2,a3,a4,a6]
j	1689410871/18741610	j-invariant
L	1.1333386112946	L(r)(E,1)/r!
Ω	0.56666930564728	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11840o4 2960e4 106560et3 59200bx3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11840bk4

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
-	0	-	0	-4	-2	-2	-4	0	6	4	-	-6	4	8	-10	4	-10	-8	0	10	4	0	2	6

---

Quadratic twists for elliptic curve 11840bk4

-4	8	-3	5
11840o4	2960e4	106560et3	59200bx3

---

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