Cremona's table of elliptic curves

40200 = 2³ · 3 · 5² · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 67+	Signs for the Atkin-Lehner involutions
Class	40200bj	Isogeny class
Conductor	40200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	339840	Modular degree for the optimal curve
Δ	-2436180300000000 = -1 · 28 · 34 · 58 · 673	Discriminant
Eigenvalues	2- 3- 5-  0  2  6  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-380833,90362963]	[a1,a2,a3,a4,a6]
j	-61084155520000/24361803	j-invariant
L	3.6055121247941	L(r)(E,1)/r!
Ω	0.45068901559983	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	80400q1 120600w1 40200d1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 40200bj1

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	3	-4	3	-5	-2	10	-12	-12	8	6	-3	-10	+	-1	9	4	15	-2	14

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Quadratic twists for elliptic curve 40200bj1

-4	-3	5
80400q1	120600w1	40200d1

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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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