Cremona's table of elliptic curves

847 = 7 · 11²

Field	Data	Notes
Atkin-Lehner	7- 11-	Signs for the Atkin-Lehner involutions
Class	847c	Isogeny class
Conductor	847	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2292646180979 = 76 · 117	Discriminant
Eigenvalues	-1  2 -2 7- 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-6234,-177484]	[a1,a2,a3,a4,a6]
Generators	[138:1201:1]	Generators of the group modulo torsion
j	15124197817/1294139	j-invariant
L	1.9187378840007	L(r)(E,1)/r!
Ω	0.54021774573437	Real period
R	0.59196435115016	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	13552s2 54208bn2 7623o2 21175h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 847c2

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	2	-2	-	-	-4	-4	0	-4	6	10	-6	-4	-12	-10	-6	2	0	8	-12	8	-8	0	-6	-10

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Quadratic twists for elliptic curve 847c2

-4	8	-3	5	-7	-11
13552s2	54208bn2	7623o2	21175h2	5929g2	77c2

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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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