Cremona's table of elliptic curves

4845 = 3 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 17+ 19+	Signs for the Atkin-Lehner involutions
Class	4845f	Isogeny class
Conductor	4845	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	53183147627475 = 318 · 52 · 172 · 19	Discriminant
Eigenvalues	-1 3- 5-  2  2  0 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-27235,1691750]	[a1,a2,a3,a4,a6]
Generators	[77:191:1]	Generators of the group modulo torsion
j	2234121806535269041/53183147627475	j-invariant
L	3.3439134460215	L(r)(E,1)/r!
Ω	0.62951215228321	Real period
R	0.29510624782957	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	77520br2 14535i2 24225c2 82365c2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4845f2

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

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Quadratic twists for elliptic curve 4845f2

-4	-3	5	17	-19
77520br2	14535i2	24225c2	82365c2	92055i2

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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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