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	128	Product of Tamagawa factors cp
Δ	417283700625 = 38 · 54 · 112 · 292	Discriminant
Eigenvalues	-1 3- 5-  0 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2795,47400]	[a1,a2,a3,a4,a6]
j	2414787172415281/417283700625	j-invariant
L	1.8012500711389	L(r)(E,1)/r!
Ω	0.90062503556946	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	76560bt2 14355e2 23925a2 52635s2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4785c2

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 4785c2

-4	-3	5	-11
76560bt2	14355e2	23925a2	52635s2

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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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