Cremona's table of elliptic curves

4785 = 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	3- 5- 11+ 29-	Signs for the Atkin-Lehner involutions
Class	4785c	Isogeny class
Conductor	4785	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	20969484770025 = 34 · 52 · 114 · 294	Discriminant
Eigenvalues	-1 3- 5-  0 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-12920,-521625]	[a1,a2,a3,a4,a6]
j	238513713417233281/20969484770025	j-invariant
L	1.8012500711389	L(r)(E,1)/r!
Ω	0.45031251778473	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	76560bt3 14355e4 23925a3 52635s3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4785c3

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
-1	-	-	0	+	6	2	-4	8	-	8	-2	-6	4	0	6	-4	-2	4	-8	10	-8	12	-6	10

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Quadratic twists for elliptic curve 4785c3

-4	-3	5	-11
76560bt3	14355e4	23925a3	52635s3

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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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