Cremona's table of elliptic curves

10092 = 2² · 3 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3- 29+	Signs for the Atkin-Lehner involutions
Class	10092h	Isogeny class
Conductor	10092	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	151200	Modular degree for the optimal curve
Δ	-3960269934709508208 = -1 · 24 · 315 · 297	Discriminant
Eigenvalues	2- 3- -2  1 -3  5  1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-79334,96105057]	[a1,a2,a3,a4,a6]
Generators	[-416:7569:1]	Generators of the group modulo torsion
j	-5802287872/416118303	j-invariant
L	4.86608537972	L(r)(E,1)/r!
Ω	0.20428759559387	Real period
R	0.13233210556188	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	40368w1 30276i1 348c1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 10092h1

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	1	-3	5	1	-6	4	+	0	-8	10	-4	-7	-2	6	8	3	-4	-4	-6	-14	7	2

---

Quadratic twists for elliptic curve 10092h1

-4	-3	29
40368w1	30276i1	348c1

---

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