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	3300r	Isogeny class
Conductor	3300	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	2309472000 = 28 · 38 · 53 · 11	Discriminant
Eigenvalues	2- 3- 5- -2 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-428,-2652]	[a1,a2,a3,a4,a6]
Generators	[-8:18:1]	Generators of the group modulo torsion
j	271593488/72171	j-invariant
L	3.8676001837718	L(r)(E,1)/r!
Ω	1.0702157551952	Real period
R	0.30115424273074	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200bw2 52800bq2 9900y2 3300h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3300r2

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	-6	4	0	2	-8	0	-2	-2	-8	8	-8	10	-8	-12	-14	8	6	-14	-12

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Quadratic twists for elliptic curve 3300r2

-4	8	-3	5	-11
13200bw2	52800bq2	9900y2	3300h2	36300ci2

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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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