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	2730p	Isogeny class
Conductor	2730	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	5184	Modular degree for the optimal curve
Δ	465699780 = 22 · 39 · 5 · 7 · 132	Discriminant
Eigenvalues	2+ 3- 5+ 7- -6 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14344,660002]	[a1,a2,a3,a4,a6]
j	326355561310674169/465699780	j-invariant
L	1.4141582348171	L(r)(E,1)/r!
Ω	1.4141582348171	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	21840be1 87360bj1 8190bz1 13650bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730p1

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
+	-	+	-	-6	-	6	2	0	0	-4	2	-6	8	0	-6	12	8	14	12	2	8	-6	-6	-10

---

Quadratic twists for elliptic curve 2730p1

-4	8	-3	5	-7	13
21840be1	87360bj1	8190bz1	13650bu1	19110m1	35490dp1

---

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