Cremona's table of elliptic curves

4350 = 2 · 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 29+	Signs for the Atkin-Lehner involutions
Class	4350t	Isogeny class
Conductor	4350	Conductor
∏ cp	34	Product of Tamagawa factors cp
deg	448800	Modular degree for the optimal curve
Δ	-5.1771774786048E+21	Discriminant
Eigenvalues	2- 3+ 5- -4  2 -4 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1725638,-3570801469]	[a1,a2,a3,a4,a6]
Generators	[38529:7539007:1]	Generators of the group modulo torsion
j	-1454831783169930625/13253574345228288	j-invariant
L	4.2254102587406	L(r)(E,1)/r!
Ω	0.057614541316586	Real period
R	2.1570383010257	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	34800dn1 13050w1 4350k1 126150bq1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350t1

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	-4	-2	8	6	+	-3	-5	6	-12	9	-8	-3	-15	5	-14	8	-16	-16	12	2

---

Quadratic twists for elliptic curve 4350t1

-4	-3	5	29
34800dn1	13050w1	4350k1	126150bq1

---

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