Cremona's table of elliptic curves

848 = 2⁴ · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Class	848d	Isogeny class
Conductor	848	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	848 = 24 · 53	Discriminant
Eigenvalues	2- -2  2  0  4 -2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17,22]	[a1,a2,a3,a4,a6]
j	35995648/53	j-invariant
L	1.2501824270723	L(r)(E,1)/r!
Ω	5.0007297082892	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	212b2 3392r1 7632p1 21200r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 848d2

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	2	0	4	-2	2	-2	2	2	-2	10	2	4	12	+	12	10	2	-6	10	-10	6	-10	14

---

Quadratic twists for elliptic curve 848d2

-4	8	-3	5	-7	-11	53
212b2	3392r1	7632p1	21200r1	41552bj1	102608t1	44944f1

---

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