Cremona's table of elliptic curves

1632 = 2⁵ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 17-	Signs for the Atkin-Lehner involutions
Class	1632h	Isogeny class
Conductor	1632	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	384864768 = 29 · 32 · 174	Discriminant
Eigenvalues	2- 3+  2  0 -4 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-192,468]	[a1,a2,a3,a4,a6]
Generators	[-12:30:1]	Generators of the group modulo torsion
j	1536800264/751689	j-invariant
L	2.670384327647	L(r)(E,1)/r!
Ω	1.5021985632147	Real period
R	1.7776507001394	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1632l2 3264bd4 4896b2 40800s3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1632h3

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

---

Quadratic twists for elliptic curve 1632h3

-4	8	-3	5	-7	17
1632l2	3264bd4	4896b2	40800s3	79968cn3	27744z3

---

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