Cremona's table of elliptic curves

9570 = 2 · 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	9570l	Isogeny class
Conductor	9570	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	264890123437500 = 22 · 312 · 58 · 11 · 29	Discriminant
Eigenvalues	2+ 3- 5-  0 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-16298,-169072]	[a1,a2,a3,a4,a6]
Generators	[159:-1205:1]	Generators of the group modulo torsion
j	478727467996694041/264890123437500	j-invariant
L	4.091186198513	L(r)(E,1)/r!
Ω	0.45255076567513	Real period
R	0.18833919256594	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	76560bq3 28710bg3 47850br3 105270ci3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570l3

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

---

Quadratic twists for elliptic curve 9570l3

-4	-3	5	-11
76560bq3	28710bg3	47850br3	105270ci3

---

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