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	4	Product of Tamagawa factors cp
Δ	-21025 = -1 · 52 · 292	Discriminant
Eigenvalues	-1  0 5+ -2 -6  2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2,6]	[a1,a2,a3,a4,a6]
Generators	[0:2:1]	Generators of the group modulo torsion
j	1367631/21025	j-invariant
L	0.8316217074617	L(r)(E,1)/r!
Ω	2.8457895490368	Real period
R	0.29222881493228	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	2320f2 9280i2 1305g2 725a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 145a2

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

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Quadratic twists for elliptic curve 145a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2320f2	9280i2	1305g2	725a2	7105a2	17545g2	24505c2	41905f2	52345e2	76705j2	4205a2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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