Cremona's table of elliptic curves

3450 = 2 · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	3450v	Isogeny class
Conductor	3450	Conductor
∏ cp	360	Product of Tamagawa factors cp
Δ	7.9439598083496E+23	Discriminant
Eigenvalues	2- 3- 5+  2  2  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-79301438,-268415348508]	[a1,a2,a3,a4,a6]
j	3529773792266261468365081/50841342773437500000	j-invariant
L	4.5572262633802	L(r)(E,1)/r!
Ω	0.050635847370891	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	27600bh2 110400bc2 10350i2 690c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3450v2

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	2	0	8	-	-10	8	-8	-6	-12	-8	-10	4	12	4	16	10	10	10	0	-10

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Quadratic twists for elliptic curve 3450v2

-4	8	-3	5	-23
27600bh2	110400bc2	10350i2	690c2	79350df2

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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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