Cremona's table of elliptic curves

5328 = 2⁴ · 3² · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 37-	Signs for the Atkin-Lehner involutions
Class	5328k	Isogeny class
Conductor	5328	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	186437376 = 28 · 39 · 37	Discriminant
Eigenvalues	2- 3+  2  0  4 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5319,-149310]	[a1,a2,a3,a4,a6]
Generators	[139372486:15945009875:10648]	Generators of the group modulo torsion
j	3302801136/37	j-invariant
L	4.3786278943238	L(r)(E,1)/r!
Ω	0.55903931224408	Real period
R	15.66482999826	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	1332a2 21312be2 5328m2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5328k2

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	4	-6	-6	4	-6	-6	8	-	0	-4	-8	12	-14	-2	-12	0	-14	0	4	-10	-18

---

Quadratic twists for elliptic curve 5328k2

-4	8	-3
1332a2	21312be2	5328m2

---

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