Cremona's table of elliptic curves

5264 = 2⁴ · 7 · 47

Field	Data	Notes
Atkin-Lehner	2+ 7- 47-	Signs for the Atkin-Lehner involutions
Class	5264d	Isogeny class
Conductor	5264	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	221677568 = 211 · 72 · 472	Discriminant
Eigenvalues	2+ -2  2 7-  6 -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-152,52]	[a1,a2,a3,a4,a6]
Generators	[-6:28:1]	Generators of the group modulo torsion
j	190887986/108241	j-invariant
L	3.264457517637	L(r)(E,1)/r!
Ω	1.5229722341406	Real period
R	0.53586950642587	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	2632a2 21056bd2 47376q2 36848d2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5264d2

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

---

Quadratic twists for elliptic curve 5264d2

-4	8	-3	-7
2632a2	21056bd2	47376q2	36848d2

---

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