Cremona's table of elliptic curves

1426 = 2 · 23 · 31

Field	Data	Notes
Atkin-Lehner	2+ 23- 31-	Signs for the Atkin-Lehner involutions
Class	1426d	Isogeny class
Conductor	1426	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	45632 = 26 · 23 · 31	Discriminant
Eigenvalues	2+ -2 -4  0  0  4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-18,-28]	[a1,a2,a3,a4,a6]
Generators	[-2:1:1]	Generators of the group modulo torsion
j	594823321/45632	j-invariant
L	1.1375321708709	L(r)(E,1)/r!
Ω	2.344848149321	Real period
R	0.97023951951878	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	11408e1 45632l1 12834o1 35650j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1426d1

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

---

Quadratic twists for elliptic curve 1426d1

-4	8	-3	5	-7	-23	-31
11408e1	45632l1	12834o1	35650j1	69874f1	32798d1	44206e1

---

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