Cremona's table of elliptic curves

3818 = 2 · 23 · 83

Field	Data	Notes
Atkin-Lehner	2+ 23+ 83-	Signs for the Atkin-Lehner involutions
Class	3818a	Isogeny class
Conductor	3818	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1216	Modular degree for the optimal curve
Δ	-1209901292 = -1 · 22 · 232 · 833	Discriminant
Eigenvalues	2+  1  0 -1  3 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,194,1324]	[a1,a2,a3,a4,a6]
j	813472670375/1209901292	j-invariant
L	1.3910996632071	L(r)(E,1)/r!
Ω	1.0433247474053	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30544p1 122176b1 34362k1 95450n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3818a1

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	-1	3	-4	3	2	+	3	5	5	6	2	-6	12	3	-7	2	-6	2	8	-	6	8

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Quadratic twists for elliptic curve 3818a1

-4	8	-3	5	-23
30544p1	122176b1	34362k1	95450n1	87814a1

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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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