Cremona's table of elliptic curves

145 = 5 · 29

Field	Data	Notes
Atkin-Lehner	5+ 29+	Signs for the Atkin-Lehner involutions
Class	145a	Isogeny class
Conductor	145	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	145 = 5 · 29	Discriminant
Eigenvalues	-1  0 5+ -2 -6  2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3,2]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	2146689/145	j-invariant
L	0.8316217074617	L(r)(E,1)/r!
Ω	5.6915790980736	Real period
R	0.58445762986457	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2320f1 9280i1 1305g1 725a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 145a1

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	0	+	-2	-6	2	-2	-2	2	+	2	10	2	8	-12	-6	-8	-6	2	-12	-6	-10	-14	18	2

---

Quadratic twists for elliptic curve 145a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2320f1	9280i1	1305g1	725a1	7105a1	17545g1	24505c1	41905f1	52345e1	76705j1	4205a1

---

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