Cremona's table of elliptic curves

4371 = 3 · 31 · 47

Field	Data	Notes
Atkin-Lehner	3+ 31- 47+	Signs for the Atkin-Lehner involutions
Class	4371a	Isogeny class
Conductor	4371	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	81900	Modular degree for the optimal curve
Δ	-1.8554469236664E+19	Discriminant
Eigenvalues	0 3+ -1 -3  4  3 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-325491,-219114925]	[a1,a2,a3,a4,a6]
j	-3813660250234160840704/18554469236664453819	j-invariant
L	0.63241877274819	L(r)(E,1)/r!
Ω	0.090345538964027	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	69936y1 13113g1 109275m1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4371a1

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	+	-1	-3	4	3	-6	8	-4	-8	-	-6	-3	-1	+	3	4	2	-10	-6	6	4	-4	5	-2

---

Quadratic twists for elliptic curve 4371a1

-4	-3	5
69936y1	13113g1	109275m1

---

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