Cremona's table of elliptic curves

4970 = 2 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 71+	Signs for the Atkin-Lehner involutions
Class	4970g	Isogeny class
Conductor	4970	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	305067230405000 = 23 · 54 · 74 · 714	Discriminant
Eigenvalues	2-  0 5+ 7+  0 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-31813,-2007883]	[a1,a2,a3,a4,a6]
j	3560613140054061729/305067230405000	j-invariant
L	2.1565787145726	L(r)(E,1)/r!
Ω	0.3594297857621	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	39760o4 44730p4 24850c4 34790w4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4970g3

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	-2	2	-8	8	6	-8	6	10	-4	0	10	12	14	8	+	-6	-16	0	-6	2

---

Quadratic twists for elliptic curve 4970g3

-4	-3	5	-7
39760o4	44730p4	24850c4	34790w4

---

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