Cremona's table of elliptic curves

33880 = 2³ · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	33880g	Isogeny class
Conductor	33880	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	473088	Modular degree for the optimal curve
Δ	-1200409733600000000 = -1 · 211 · 58 · 7 · 118	Discriminant
Eigenvalues	2+  1 5- 7+ 11-  3 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1122920,460655600]	[a1,a2,a3,a4,a6]
Generators	[-565:30250:1]	Generators of the group modulo torsion
j	-356696720402/2734375	j-invariant
L	6.7225999939906	L(r)(E,1)/r!
Ω	0.27494235672744	Real period
R	1.0187893070278	Regulator
r	1	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	67760s1 33880t1	Quadratic twists by: -4 -11

Hecke Eigenvalues for elliptic curve 33880g1

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	-	+	-	3	-4	-1	-3	0	0	2	10	2	8	8	-13	14	-4	0	-4	-15	-15	10	0

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Quadratic twists for elliptic curve 33880g1

-4	-11
67760s1	33880t1

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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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