Cremona's table of elliptic curves

17430 = 2 · 3 · 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 83+	Signs for the Atkin-Lehner involutions
Class	17430bq	Isogeny class
Conductor	17430	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	20181050628900 = 22 · 3 · 52 · 76 · 833	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-36880,-2720548]	[a1,a2,a3,a4,a6]
Generators	[244:1558:1]	Generators of the group modulo torsion
j	5547498395124107521/20181050628900	j-invariant
L	9.7596769325202	L(r)(E,1)/r!
Ω	0.34458532544223	Real period
R	4.7204935961772	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	52290ba3 87150g3 122010bv3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 17430bq3

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

---

Quadratic twists for elliptic curve 17430bq3

-3	5	-7
52290ba3	87150g3	122010bv3

---

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