Cremona's table of elliptic curves

27600 = 2⁴ · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	27600dd	Isogeny class
Conductor	27600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2437632000 = -1 · 212 · 32 · 53 · 232	Discriminant
Eigenvalues	2- 3- 5-  0  0  4  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,312,-972]	[a1,a2,a3,a4,a6]
j	6539203/4761	j-invariant
L	3.2563368642858	L(r)(E,1)/r!
Ω	0.81408421607137	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	1725k2 110400gv2 82800fn2 27600ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600dd2

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	0	4	0	2	+	-2	8	-10	-2	4	0	0	14	6	4	6	8	6	0	-6	-6

---

Quadratic twists for elliptic curve 27600dd2

-4	8	-3	5
1725k2	110400gv2	82800fn2	27600ca2

---

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