Cremona's table of elliptic curves

1602 = 2 · 3² · 89

Field	Data	Notes
Atkin-Lehner	2- 3- 89+	Signs for the Atkin-Lehner involutions
Class	1602c	Isogeny class
Conductor	1602	Conductor
∏ cp	28	Product of Tamagawa factors cp
Δ	739124352 = 27 · 36 · 892	Discriminant
Eigenvalues	2- 3- -2  0  0 -4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6161,-184575]	[a1,a2,a3,a4,a6]
Generators	[-45:24:1]	Generators of the group modulo torsion
j	35471840526793/1013888	j-invariant
L	3.6420535755919	L(r)(E,1)/r!
Ω	0.5388811651971	Real period
R	0.96550668597111	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	12816i2 51264h2 178b2 40050e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1602c2

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

---

Quadratic twists for elliptic curve 1602c2

-4	8	-3	5	-7
12816i2	51264h2	178b2	40050e2	78498cb2

---

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