Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	1848h	Isogeny class
Conductor	1848	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-7805952 = -1 · 210 · 32 · 7 · 112	Discriminant
Eigenvalues	2- 3+  0 7- 11+  2 -8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8,-132]	[a1,a2,a3,a4,a6]
Generators	[14:48:1]	Generators of the group modulo torsion
j	-62500/7623	j-invariant
L	2.6043498580626	L(r)(E,1)/r!
Ω	1.038088593794	Real period
R	1.2543967218367	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	3696k1 14784bi1 5544i1 46200bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848h1

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	-	+	2	-8	-6	8	-6	10	2	-8	-4	2	2	-8	2	4	-4	-4	-8	-18	2	-14

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Quadratic twists for elliptic curve 1848h1

-4	8	-3	5	-7	-11
3696k1	14784bi1	5544i1	46200bc1	12936x1	20328a1

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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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