Cremona's table of elliptic curves

912 = 2⁴ · 3 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 19+	Signs for the Atkin-Lehner involutions
Class	912h	Isogeny class
Conductor	912	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	75644928 = 214 · 35 · 19	Discriminant
Eigenvalues	2- 3-  0 -4 -4  0 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1528,22484]	[a1,a2,a3,a4,a6]
Generators	[38:-144:1]	Generators of the group modulo torsion
j	96386901625/18468	j-invariant
L	2.5332700532084	L(r)(E,1)/r!
Ω	1.8797316974275	Real period
R	0.26953528066535	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	114b1 3648y1 2736o1 22800bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912h1

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

---

Quadratic twists for elliptic curve 912h1

-4	8	-3	5	-7	-11	-19
114b1	3648y1	2736o1	22800bw1	44688cj1	110352cf1	17328t1

---

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