Cremona's table of elliptic curves

522 = 2 · 3² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 29-	Signs for the Atkin-Lehner involutions
Class	522m	Isogeny class
Conductor	522	Conductor
∏ cp	198	Product of Tamagawa factors cp
Δ	-3.3401053260674E+20	Discriminant
Eigenvalues	2- 3-  3  5 -6 -4 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,619564,858878903]	[a1,a2,a3,a4,a6]
j	36079072622241241607/458176313589497856	j-invariant
L	2.7832213779816	L(r)(E,1)/r!
Ω	0.12651006263553	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	4176bh2 16704bc2 174a2 13050p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 522m2

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
-	-	3	5	-6	-4	-3	-1	0	-	-4	-1	9	-7	3	6	-3	-10	-4	-12	2	14	0	6	8

---

Quadratic twists for elliptic curve 522m2

-4	8	-3	5	-7	-11	13	29
4176bh2	16704bc2	174a2	13050p2	25578bx2	63162y2	88218be2	15138i2

---

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