Cremona's table of elliptic curves

258 = 2 · 3 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 43-	Signs for the Atkin-Lehner involutions
Class	258f	Isogeny class
Conductor	258	Conductor
∏ cp	14	Product of Tamagawa factors cp
Δ	-3261823333284 = -1 · 22 · 3 · 437	Discriminant
Eigenvalues	2- 3- -1  1  5 -7  4 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-59901,-5648523]	[a1,a2,a3,a4,a6]
j	-23769846831649063249/3261823333284	j-invariant
L	2.136168286768	L(r)(E,1)/r!
Ω	0.15258344905486	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	2064e2 8256c2 774d2 6450a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 258f2

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	1	5	-7	4	-1	-4	-5	-10	10	0	-	-1	12	4	-8	-2	-12	4	10	-7	6	-7

---

Quadratic twists for elliptic curve 258f2

-4	8	-3	5	-7	-11	13	17	-19	-43
2064e2	8256c2	774d2	6450a2	12642z2	31218e2	43602k2	74562t2	93138d2	11094d2

---

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