Cremona's table of elliptic curves

380 = 2² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	380b	Isogeny class
Conductor	380	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-902500000000 = -1 · 28 · 510 · 192	Discriminant
Eigenvalues	2-  2 5+  2  0  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,884,44280]	[a1,a2,a3,a4,a6]
j	298091207216/3525390625	j-invariant
L	1.9610721647212	L(r)(E,1)/r!
Ω	0.65369072157372	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	1520i2 6080j2 3420a2 1900a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 380b2

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	+	2	0	6	2	+	-2	-2	4	-10	-10	6	-6	6	-4	2	-2	12	-6	8	-2	2	-18

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Quadratic twists for elliptic curve 380b2

-4	8	-3	5	-7	-11	13	17	-19
1520i2	6080j2	3420a2	1900a2	18620q2	45980c2	64220n2	109820i2	7220d2

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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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