Cremona's table of elliptic curves

6900 = 2² · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 23-	Signs for the Atkin-Lehner involutions
Class	6900c	Isogeny class
Conductor	6900	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-54751500000000 = -1 · 28 · 32 · 59 · 233	Discriminant
Eigenvalues	2- 3+ 5+  1  0  4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-34533,-2484063]	[a1,a2,a3,a4,a6]
Generators	[687:-17250:1]	Generators of the group modulo torsion
j	-1138621087744/13687875	j-invariant
L	3.7411604752584	L(r)(E,1)/r!
Ω	0.17498428194827	Real period
R	0.29694416880099	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	27600cj2 110400dt2 20700f2 1380c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6900c2

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	4	3	-4	-	-3	-7	-11	-9	4	-6	-9	3	-10	13	9	16	8	15	0	-2

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Quadratic twists for elliptic curve 6900c2

-4	8	-3	5
27600cj2	110400dt2	20700f2	1380c2

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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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