Cremona's table of elliptic curves

16245 = 3² · 5 · 19²

Field	Data	Notes
Atkin-Lehner	3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	16245c	Isogeny class
Conductor	16245	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	-534420102201636375 = -1 · 314 · 53 · 197	Discriminant
Eigenvalues	1 3- 5+  4 -4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,73035,-34360200]	[a1,a2,a3,a4,a6]
Generators	[16274008:378375588:29791]	Generators of the group modulo torsion
j	1256216039/15582375	j-invariant
L	5.6590815111135	L(r)(E,1)/r!
Ω	0.14365424383379	Real period
R	9.8484412295906	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	5415l1 81225bg1 855a1	Quadratic twists by: -3 5 -19

Hecke Eigenvalues for elliptic curve 16245c1

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
1	-	+	4	-4	-2	-2	-	4	-2	0	6	-6	8	12	-14	4	14	4	0	-14	-16	0	-6	10

---

Quadratic twists for elliptic curve 16245c1

-3	5	-19
5415l1	81225bg1	855a1

---

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