Cremona's table of elliptic curves

846 = 2 · 3² · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 47-	Signs for the Atkin-Lehner involutions
Class	846c	Isogeny class
Conductor	846	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-11367641088 = -1 · 212 · 310 · 47	Discriminant
Eigenvalues	2+ 3- -2  0  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,522,2164]	[a1,a2,a3,a4,a6]
Generators	[-1:41:1]	Generators of the group modulo torsion
j	21554582687/15593472	j-invariant
L	1.6551206746339	L(r)(E,1)/r!
Ω	0.81106328775313	Real period
R	1.0203400274836	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	6768o1 27072bc1 282a1 21150bv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 846c1

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

---

Quadratic twists for elliptic curve 846c1

-4	8	-3	5	-7	-11	-47
6768o1	27072bc1	282a1	21150bv1	41454p1	102366bo1	39762j1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations