Cremona's table of elliptic curves

13600 = 2⁵ · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 17+	Signs for the Atkin-Lehner involutions
Class	13600b	Isogeny class
Conductor	13600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-133633600000000 = -1 · 212 · 58 · 174	Discriminant
Eigenvalues	2+  2 5+  2  0 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48033,4105937]	[a1,a2,a3,a4,a6]
Generators	[197:1500:1]	Generators of the group modulo torsion
j	-191501383744/2088025	j-invariant
L	7.0329347882743	L(r)(E,1)/r!
Ω	0.58650072621745	Real period
R	1.4989186018644	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	13600q2 27200l1 122400do2 2720f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13600b2

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

---

Quadratic twists for elliptic curve 13600b2

-4	8	-3	5
13600q2	27200l1	122400do2	2720f2

---

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