Cremona's table of elliptic curves

141 = 3 · 47

Field	Data	Notes
Atkin-Lehner	3+ 47-	Signs for the Atkin-Lehner involutions
Class	141b	Isogeny class
Conductor	141	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	-34263 = -1 · 36 · 47	Discriminant
Eigenvalues	-1 3+  0  4  0  6 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8,-16]	[a1,a2,a3,a4,a6]
j	-57066625/34263	j-invariant
L	0.69027880279175	L(r)(E,1)/r!
Ω	1.3805576055835	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2256l1 9024s1 423b1 3525j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141b1

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
-1	+	0	4	0	6	-6	2	4	8	6	-6	-8	-6	-	2	12	2	-2	0	-10	-4	4	-10	-18

---

Quadratic twists for elliptic curve 141b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256l1	9024s1	423b1	3525j1	6909i1	17061b1	23829b1	40749m1	50901k1	74589e1	118581d1	6627d1

---

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