Cremona's table of elliptic curves

33600 = 2⁶ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	33600l	Isogeny class
Conductor	33600	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	40642560000000000 = 220 · 34 · 510 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1680033,-837540063]	[a1,a2,a3,a4,a6]
Generators	[-93720:27729:125]	Generators of the group modulo torsion
j	128031684631201/9922500	j-invariant
L	3.7820952770563	L(r)(E,1)/r!
Ω	0.13260872504993	Real period
R	7.1301780400046	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	33600gt4 1050g3 100800dy4 6720u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 33600l4

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

---

Quadratic twists for elliptic curve 33600l4

-4	8	-3	5
33600gt4	1050g3	100800dy4	6720u3

---

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