Cremona's table of elliptic curves

1206 = 2 · 3² · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 67-	Signs for the Atkin-Lehner involutions
Class	1206f	Isogeny class
Conductor	1206	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-10069396206649344 = -1 · 236 · 37 · 67	Discriminant
Eigenvalues	2- 3-  3 -1  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-92291,11845379]	[a1,a2,a3,a4,a6]
j	-119253141177582313/13812614823936	j-invariant
L	3.1683376153305	L(r)(E,1)/r!
Ω	0.39604220191632	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	9648l3 38592r3 402d3 30150r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1206f3

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
-	-	3	-1	0	-4	6	2	9	0	5	-7	-3	-1	0	-9	3	-10	-	12	11	8	-15	0	8

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Quadratic twists for elliptic curve 1206f3

-4	8	-3	5	-7	-67
9648l3	38592r3	402d3	30150r3	59094ce3	80802i3

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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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