Cremona's table of elliptic curves

4026 = 2 · 3 · 11 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 61-	Signs for the Atkin-Lehner involutions
Class	4026c	Isogeny class
Conductor	4026	Conductor
∏ cp	42	Product of Tamagawa factors cp
Δ	-450261029485960704 = -1 · 29 · 37 · 116 · 613	Discriminant
Eigenvalues	2+ 3-  3 -4 11+  2  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9842,-32287228]	[a1,a2,a3,a4,a6]
Generators	[2460:120556:1]	Generators of the group modulo torsion
j	-105416929096482457/450261029485960704	j-invariant
L	3.4453811744587	L(r)(E,1)/r!
Ω	0.13474833735887	Real period
R	0.60878587976699	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	32208m2 128832g2 12078x2 100650bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4026c2

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	-4	+	2	3	-4	-9	-6	2	-1	-6	-7	-6	6	6	-	-4	3	-7	-4	-3	-15	11

---

Quadratic twists for elliptic curve 4026c2

-4	8	-3	5	-11
32208m2	128832g2	12078x2	100650bn2	44286bj2

---

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