Cremona's table of elliptic curves

4950 = 2 · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	4950n	Isogeny class
Conductor	4950	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	51840	Modular degree for the optimal curve
Δ	-98648735625000000 = -1 · 26 · 315 · 510 · 11	Discriminant
Eigenvalues	2+ 3- 5+  1 11-  4  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,73008,-13083584]	[a1,a2,a3,a4,a6]
Generators	[488:11528:1]	Generators of the group modulo torsion
j	6045109175/13856832	j-invariant
L	3.0501658304062	L(r)(E,1)/r!
Ω	0.17452005084053	Real period
R	4.3693630269358	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39600dc1 1650l1 4950bt1 54450fn1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950n1

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	-	4	3	-1	-9	-6	-10	1	-9	4	-3	-12	3	-4	4	-3	4	11	6	0	1

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Quadratic twists for elliptic curve 4950n1

-4	-3	5	-11
39600dc1	1650l1	4950bt1	54450fn1

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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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