Cremona's table of elliptic curves

13260 = 2² · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+ 17+	Signs for the Atkin-Lehner involutions
Class	13260a	Isogeny class
Conductor	13260	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-27473062500000000 = -1 · 28 · 32 · 512 · 132 · 172	Discriminant
Eigenvalues	2- 3+ 5+  2  2 13+ 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-53836,-9293960]	[a1,a2,a3,a4,a6]
j	-67407802159923664/107316650390625	j-invariant
L	1.7815863799473	L(r)(E,1)/r!
Ω	0.14846553166228	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53040cf2 39780w2 66300bf2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13260a2

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	2	+	+	-2	4	2	10	6	2	-8	2	6	-10	-2	-14	-2	14	12	14	-10	-2

---

Quadratic twists for elliptic curve 13260a2

-4	-3	5
53040cf2	39780w2	66300bf2

---

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