Cremona's table of elliptic curves

330 = 2 · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	330a	Isogeny class
Conductor	330	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2779502343750 = -1 · 2 · 35 · 58 · 114	Discriminant
Eigenvalues	2+ 3+ 5+  0 11-  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1017,-78813]	[a1,a2,a3,a4,a6]
j	116149984977671/2779502343750	j-invariant
L	0.78139617558096	L(r)(E,1)/r!
Ω	0.39069808779048	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	2640r4 10560z4 990k4 1650q4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 330a4

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

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Quadratic twists for elliptic curve 330a4

-4	8	-3	5	-7	-11	13	17	-19
2640r4	10560z4	990k4	1650q4	16170bd4	3630n4	55770cc3	95370bh3	119130bo3

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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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