Cremona's table of elliptic curves

103428 = 2² · 3² · 13² · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 17+	Signs for the Atkin-Lehner involutions
Class	103428c	Isogeny class
Conductor	103428	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-119491808931945216 = -1 · 28 · 39 · 136 · 173	Discriminant
Eigenvalues	2- 3+ -3 -2 -3 13+ 17+  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-36504,16846596]	[a1,a2,a3,a4,a6]
j	-221184/4913	j-invariant
L	1.669746159067	L(r)(E,1)/r!
Ω	0.27829100166594	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	103428f1 612a2	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 103428c2

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
-	+	-3	-2	-3	+	+	7	3	6	4	-2	-9	-1	12	12	6	2	4	0	-8	14	12	6	16

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Quadratic twists for elliptic curve 103428c2

-3	13
103428f1	612a2

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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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