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	9570bd	Isogeny class
Conductor	9570	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-99100231727970 = -1 · 2 · 3 · 5 · 115 · 295	Discriminant
Eigenvalues	2- 3- 5- -2 11- -6  3 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10870,-648730]	[a1,a2,a3,a4,a6]
Generators	[1286:9983:8]	Generators of the group modulo torsion
j	-142041366409834081/99100231727970	j-invariant
L	7.7223561637705	L(r)(E,1)/r!
Ω	0.2267850801512	Real period
R	6.8102858958994	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	76560bk2 28710h2 47850m2 105270bd2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570bd2

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	-	-6	3	-5	-6	+	7	-2	2	-6	-7	-6	0	12	-12	-3	-6	10	4	-15	-17

---

Quadratic twists for elliptic curve 9570bd2

-4	-3	5	-11
76560bk2	28710h2	47850m2	105270bd2

---

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