Cremona's table of elliptic curves

20328 = 2³ · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	20328h	Isogeny class
Conductor	20328	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	887040	Modular degree for the optimal curve
Δ	-2.7624761563905E+21	Discriminant
Eigenvalues	2+ 3- -3 7- 11+  3 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1256908,-2469488991]	[a1,a2,a3,a4,a6]
Generators	[20368:2910897:1]	Generators of the group modulo torsion
j	5820759945472/73222472421	j-invariant
L	5.2719893351491	L(r)(E,1)/r!
Ω	0.070425339925037	Real period
R	0.89118175171323	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40656c1 60984cc1 20328v1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 20328h1

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
+	-	-3	-	+	3	-4	-1	4	3	-2	-3	0	-4	3	-10	3	2	9	-16	5	6	-16	-6	4

---

Quadratic twists for elliptic curve 20328h1

-4	-3	-11
40656c1	60984cc1	20328v1

---

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