Cremona's table of elliptic curves

9282 = 2 · 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 13+ 17-	Signs for the Atkin-Lehner involutions
Class	9282d	Isogeny class
Conductor	9282	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-66539331109805736 = -1 · 23 · 3 · 7 · 1312 · 17	Discriminant
Eigenvalues	2+ 3+ -2 7-  4 13+ 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-85326,-15721860]	[a1,a2,a3,a4,a6]
Generators	[35913:1255981:27]	Generators of the group modulo torsion
j	-68703019601012586217/66539331109805736	j-invariant
L	2.5589367634198	L(r)(E,1)/r!
Ω	0.1343714505421	Real period
R	9.5218766824956	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	74256cn3 27846bi3 64974x3 120666bj3	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282d4

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	-	4	+	-	4	-4	6	0	-2	-2	-4	-12	-6	-4	6	-12	16	6	0	-12	-6	14

---

Quadratic twists for elliptic curve 9282d4

-4	-3	-7	13
74256cn3	27846bi3	64974x3	120666bj3

---

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