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	27600bb	Isogeny class
Conductor	27600	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-49362048000 = -1 · 210 · 36 · 53 · 232	Discriminant
Eigenvalues	2+ 3- 5-  0  0  0  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-928,14948]	[a1,a2,a3,a4,a6]
Generators	[8:-90:1]	Generators of the group modulo torsion
j	-691234772/385641	j-invariant
L	6.7910538380426	L(r)(E,1)/r!
Ω	1.0476666921585	Real period
R	0.54017289793212	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	13800s2 110400gu2 82800ca2 27600o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600bb2

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	0	4	-2	+	-6	0	-2	6	-4	-8	-8	-6	10	4	-2	16	14	4	-10	10

---

Quadratic twists for elliptic curve 27600bb2

-4	8	-3	5
13800s2	110400gu2	82800ca2	27600o2

---

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