Cremona's table of elliptic curves

4794 = 2 · 3 · 17 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 17- 47-	Signs for the Atkin-Lehner involutions
Class	4794f	Isogeny class
Conductor	4794	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	42496	Modular degree for the optimal curve
Δ	-47211926360688 = -1 · 24 · 32 · 178 · 47	Discriminant
Eigenvalues	2- 3+  0 -4 -4  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-334083,-74464047]	[a1,a2,a3,a4,a6]
j	-4123698682768504296625/47211926360688	j-invariant
L	1.5886405450277	L(r)(E,1)/r!
Ω	0.099290034064234	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38352t1 14382a1 119850w1 81498x1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4794f1

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

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Quadratic twists for elliptic curve 4794f1

-4	-3	5	17
38352t1	14382a1	119850w1	81498x1

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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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