Cremona's table of elliptic curves

8450 = 2 · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	8450a	Isogeny class
Conductor	8450	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-7.666785058816E+19	Discriminant
Eigenvalues	2+  0 5+  3 -3 13+  4  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1923167,-1109134259]	[a1,a2,a3,a4,a6]
Generators	[13988991841110849:395685206799394138:6860083057001]	Generators of the group modulo torsion
j	-1762712152495281/171798691840	j-invariant
L	3.3214535340886	L(r)(E,1)/r!
Ω	0.063748390699405	Real period
R	26.051273590187	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	67600bi2 76050et2 1690g2 8450n2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8450a2

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
+	0	+	3	-3	+	4	7	4	-8	-10	-3	-2	-6	1	9	-4	-14	-4	6	-4	10	0	1	-16

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Quadratic twists for elliptic curve 8450a2

-4	-3	5	13
67600bi2	76050et2	1690g2	8450n2

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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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