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	29400ba	Isogeny class
Conductor	29400	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	50176	Modular degree for the optimal curve
Δ	15495785088000 = 210 · 3 · 53 · 79	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6288,-29028]	[a1,a2,a3,a4,a6]
Generators	[-43:400:1]	Generators of the group modulo torsion
j	5324/3	j-invariant
L	4.3185297006027	L(r)(E,1)/r!
Ω	0.57726899840959	Real period
R	3.7404829572526	Regulator
r	1	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	58800ed1 88200hx1 29400el1 29400cb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 29400ba1

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

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Quadratic twists for elliptic curve 29400ba1

-4	-3	5	-7
58800ed1	88200hx1	29400el1	29400cb1

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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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