Cremona's table of elliptic curves

5467 = 7 · 11 · 71

Field	Data	Notes
Atkin-Lehner	7+ 11+ 71-	Signs for the Atkin-Lehner involutions
Class	5467a	Isogeny class
Conductor	5467	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1480	Modular degree for the optimal curve
Δ	-13126267 = -1 · 75 · 11 · 71	Discriminant
Eigenvalues	0  0  4 7+ 11+  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-38,196]	[a1,a2,a3,a4,a6]
j	-6068404224/13126267	j-invariant
L	1.9904447004942	L(r)(E,1)/r!
Ω	1.9904447004942	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	87472f1 49203c1 38269d1 60137b1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 5467a1

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	0	4	+	+	2	-2	8	8	-6	5	-9	-6	-12	12	0	-11	14	-2	-	-9	6	-1	0	15

---

Quadratic twists for elliptic curve 5467a1

-4	-3	-7	-11
87472f1	49203c1	38269d1	60137b1

---

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