Cremona's table of elliptic curves

5852 = 2² · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	5852b	Isogeny class
Conductor	5852	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	12616912 = 24 · 73 · 112 · 19	Discriminant
Eigenvalues	2-  0 -2 7+ 11-  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2176,39069]	[a1,a2,a3,a4,a6]
j	71216463347712/788557	j-invariant
L	1.0189942433286	L(r)(E,1)/r!
Ω	2.0379884866571	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	23408h1 93632a1 52668q1 40964g1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5852b1

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
-	0	-2	+	-	2	0	-	0	4	-4	-6	-2	4	-6	-6	-8	0	-6	6	12	4	-8	-10	14

---

Quadratic twists for elliptic curve 5852b1

-4	8	-3	-7	-11	-19
23408h1	93632a1	52668q1	40964g1	64372e1	111188f1

---

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