Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	2730bc	Isogeny class
Conductor	2730	Conductor
∏ cp	264	Product of Tamagawa factors cp
Δ	-3.2908902714317E+20	Discriminant
Eigenvalues	2- 3- 5- 7+  2 13+  6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2174220,-1511622000]	[a1,a2,a3,a4,a6]
j	-1136669439536177967564481/329089027143166617600	j-invariant
L	4.0423797204023	L(r)(E,1)/r!
Ω	0.061248177581853	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	21840bn2 87360j2 8190i2 13650k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730bc2

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	+	6	-6	4	0	4	6	10	-8	-8	6	8	-8	2	12	-2	-8	-18	2	2

---

Quadratic twists for elliptic curve 2730bc2

-4	8	-3	5	-7	13
21840bn2	87360j2	8190i2	13650k2	19110bu2	35490be2

---

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