Cremona's table of elliptic curves

34800 = 2⁴ · 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 29+	Signs for the Atkin-Lehner involutions
Class	34800q	Isogeny class
Conductor	34800	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	575232	Modular degree for the optimal curve
Δ	-1788467175717120000 = -1 · 211 · 34 · 54 · 297	Discriminant
Eigenvalues	2+ 3+ 5-  4 -2  4  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-286208,-87158688]	[a1,a2,a3,a4,a6]
j	-2025632080681250/1397239981029	j-invariant
L	2.4034014210565	L(r)(E,1)/r!
Ω	0.10014172587745	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	17400bp1 104400cl1 34800bc1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 34800q1

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
+	+	-	4	-2	4	6	0	-6	+	-9	3	-2	4	3	0	-1	1	7	-10	8	8	-8	-12	-14

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Quadratic twists for elliptic curve 34800q1

-4	-3	5
17400bp1	104400cl1	34800bc1

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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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