Cremona's table of elliptic curves

16380 = 2² · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	16380h	Isogeny class
Conductor	16380	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	236969541900000000 = 28 · 312 · 58 · 73 · 13	Discriminant
Eigenvalues	2- 3- 5- 7- -4 13+  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-163407,-9892906]	[a1,a2,a3,a4,a6]
Generators	[1963:-85050:1]	Generators of the group modulo torsion
j	2585640781499344/1269769921875	j-invariant
L	5.3714019952963	L(r)(E,1)/r!
Ω	0.24962277364601	Real period
R	0.29886217671799	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	65520dn2 5460a2 81900s2 114660be2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16380h2

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

---

Quadratic twists for elliptic curve 16380h2

-4	-3	5	-7
65520dn2	5460a2	81900s2	114660be2

---

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