Cremona's table of elliptic curves

2958 = 2 · 3 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 17- 29-	Signs for the Atkin-Lehner involutions
Class	2958a	Isogeny class
Conductor	2958	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	83380104 = 23 · 36 · 17 · 292	Discriminant
Eigenvalues	2- 3+ -2  4  4  2 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-709,-7549]	[a1,a2,a3,a4,a6]
j	39418555113937/83380104	j-invariant
L	2.7759475285375	L(r)(E,1)/r!
Ω	0.92531584284582	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	23664q2 94656y2 8874b2 73950bf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2958a2

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

---

Quadratic twists for elliptic curve 2958a2

-4	8	-3	5	17	29
23664q2	94656y2	8874b2	73950bf2	50286r2	85782g2

---

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