Cremona's table of elliptic curves

532 = 2² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Class	532a	Isogeny class
Conductor	532	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	646912 = 28 · 7 · 192	Discriminant
Eigenvalues	2-  0 -2 7-  4  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-31,54]	[a1,a2,a3,a4,a6]
j	12869712/2527	j-invariant
L	1.3655766059918	L(r)(E,1)/r!
Ω	2.7311532119836	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	2128a2 8512b2 4788f2 13300d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 532a2

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

---

Quadratic twists for elliptic curve 532a2

-4	8	-3	5	-7	-11	13	-19
2128a2	8512b2	4788f2	13300d2	3724a2	64372c2	89908b2	10108b2

---

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