Cremona's table of elliptic curves

76230 = 2 · 3² · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	76230co	Isogeny class
Conductor	76230	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	196035840	Modular degree for the optimal curve
Δ	-4.2024820473464E+31	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-624060729,-311954461165715]	[a1,a2,a3,a4,a6]
Generators	[487873469:12620330783:6859]	Generators of the group modulo torsion
j	-1421509920358606969/2222549728809984000	j-invariant
L	5.0710343128511	L(r)(E,1)/r!
Ω	0.0091962803724005	Real period
R	9.190372098829	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	25410bw1 76230ep1	Quadratic twists by: -3 -11

Hecke Eigenvalues for elliptic curve 76230co1

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
+	-	-	-	-	-4	2	0	-2	5	0	-3	9	-10	-5	-6	-4	-15	14	-9	3	6	2	5	1

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Quadratic twists for elliptic curve 76230co1

-3	-11
25410bw1	76230ep1

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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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