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	4350m	Isogeny class
Conductor	4350	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7884375000 = 23 · 3 · 58 · 292	Discriminant
Eigenvalues	2+ 3- 5+  2 -2  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3276,-72302]	[a1,a2,a3,a4,a6]
Generators	[-32:17:1]	Generators of the group modulo torsion
j	248739515569/504600	j-invariant
L	3.4084095770023	L(r)(E,1)/r!
Ω	0.63114971799933	Real period
R	2.7001593122838	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	34800ca2 13050be2 870e2 126150bx2	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350m2

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

---

Quadratic twists for elliptic curve 4350m2

-4	-3	5	29
34800ca2	13050be2	870e2	126150bx2

---

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