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	4350n	Isogeny class
Conductor	4350	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	390110909062500 = 22 · 316 · 57 · 29	Discriminant
Eigenvalues	2+ 3- 5+ -4  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-80751,-8787602]	[a1,a2,a3,a4,a6]
Generators	[-163:306:1]	Generators of the group modulo torsion
j	3726830856733921/24967098180	j-invariant
L	2.9492588049545	L(r)(E,1)/r!
Ω	0.2833273726858	Real period
R	0.32529274097718	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	34800cf4 13050bf3 870g3 126150cd4	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350n3

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

---

Quadratic twists for elliptic curve 4350n3

-4	-3	5	29
34800cf4	13050bf3	870g3	126150cd4

---

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