Cremona's table of elliptic curves

4797 = 3² · 13 · 41

Field	Data	Notes
Atkin-Lehner	3- 13+ 41-	Signs for the Atkin-Lehner involutions
Class	4797b	Isogeny class
Conductor	4797	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8064	Modular degree for the optimal curve
Δ	-1866953827323 = -1 · 313 · 134 · 41	Discriminant
Eigenvalues	-2 3-  0 -2  1 13+  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,2445,-46436]	[a1,a2,a3,a4,a6]
Generators	[76:760:1]	Generators of the group modulo torsion
j	2217342464000/2560979187	j-invariant
L	1.8181706585338	L(r)(E,1)/r!
Ω	0.44864137334066	Real period
R	1.0131536938933	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	76752bt1 1599b1 119925bl1 62361g1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4797b1

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
-2	-	0	-2	1	+	3	4	-2	5	-5	-3	-	-9	7	-6	12	5	14	-15	9	-2	-12	-10	-12

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Quadratic twists for elliptic curve 4797b1

-4	-3	5	13
76752bt1	1599b1	119925bl1	62361g1

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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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