Cremona's table of elliptic curves

1840 = 2⁴ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	1840f	Isogeny class
Conductor	1840	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-121670000 = -1 · 24 · 54 · 233	Discriminant
Eigenvalues	2- -1 5+  4  6 -1  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-46,-529]	[a1,a2,a3,a4,a6]
j	-687518464/7604375	j-invariant
L	1.5833032908888	L(r)(E,1)/r!
Ω	0.79165164544438	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	460c1 7360w1 16560cg1 9200bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1840f1

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
-	-1	+	4	6	-1	0	-2	+	9	-5	2	-9	4	3	-6	0	2	10	3	-7	10	12	0	8

---

Quadratic twists for elliptic curve 1840f1

-4	8	-3	5	-7	-23
460c1	7360w1	16560cg1	9200bb1	90160cs1	42320y1

---

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