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
deg	2304	Modular degree for the optimal curve
Δ	1305000000 = 26 · 32 · 57 · 29	Discriminant
Eigenvalues	2+ 3- 5+  2 -2  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-276,-302]	[a1,a2,a3,a4,a6]
Generators	[-8:41:1]	Generators of the group modulo torsion
j	148035889/83520	j-invariant
L	3.4084095770023	L(r)(E,1)/r!
Ω	1.2622994359987	Real period
R	1.3500796561419	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	34800ca1 13050be1 870e1 126150bx1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350m1

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

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Quadratic twists for elliptic curve 4350m1

-4	-3	5	29
34800ca1	13050be1	870e1	126150bx1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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