Cremona's table of elliptic curves

1147 = 31 · 37

Field	Data	Notes
Atkin-Lehner	31- 37-	Signs for the Atkin-Lehner involutions
Class	1147b	Isogeny class
Conductor	1147	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	30326246618289637 = 3110 · 37	Discriminant
Eigenvalues	-2 -1 -4  3 -3  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-293560,-60546218]	[a1,a2,a3,a4,a6]
Generators	[1832:74477:1]	Generators of the group modulo torsion
j	2797794606468551643136/30326246618289637	j-invariant
L	0.94208257709513	L(r)(E,1)/r!
Ω	0.20523887137209	Real period
R	0.45901761727542	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	18352i2 73408k2 10323e2 28675c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1147b2

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	-1	-4	3	-3	4	-2	0	4	0	-	-	7	4	3	-1	-10	-8	-12	-3	-11	0	-1	10	-2

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Quadratic twists for elliptic curve 1147b2

-4	8	-3	5	-7	-31	37
18352i2	73408k2	10323e2	28675c2	56203b2	35557b2	42439b2

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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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