Cremona's table of elliptic curves

29400 = 2³ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	29400br	Isogeny class
Conductor	29400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2.161800375E+20	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7938408,8577152688]	[a1,a2,a3,a4,a6]
Generators	[144280042128057:-11237083740406250:20548309419]	Generators of the group modulo torsion
j	14695548366242/57421875	j-invariant
L	7.0681931581354	L(r)(E,1)/r!
Ω	0.17825750545563	Real period
R	19.825793982893	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	58800bf6 88200hb6 5880t5 4200d5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400br6

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	-2	2	-4	0	-2	-8	2	-2	-4	0	10	12	-6	-12	0	-6	-8	4	-2	-14

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Quadratic twists for elliptic curve 29400br6

-4	-3	5	-7
58800bf6	88200hb6	5880t5	4200d5

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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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