Cremona's table of elliptic curves

3300 = 2² · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	3300g	Isogeny class
Conductor	3300	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-32152180500000000 = -1 · 28 · 312 · 59 · 112	Discriminant
Eigenvalues	2- 3+ 5-  0 11-  4  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,50292,-7472088]	[a1,a2,a3,a4,a6]
j	28134667888/64304361	j-invariant
L	1.5330819454055	L(r)(E,1)/r!
Ω	0.19163524317568	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200cn2 52800dj2 9900v2 3300q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300g2

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

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Quadratic twists for elliptic curve 3300g2

-4	8	-3	5	-11
13200cn2	52800dj2	9900v2	3300q2	36300x2

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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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