Cremona's table of elliptic curves

104400 = 2⁴ · 3² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	104400s	Isogeny class
Conductor	104400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	919633500000000000 = 211 · 37 · 512 · 292	Discriminant
Eigenvalues	2+ 3- 5+ -2 -2 -4 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-300675,43569250]	[a1,a2,a3,a4,a6]
Generators	[-601:2682:1] [-30:7250:1]	Generators of the group modulo torsion
j	128865945458/39421875	j-invariant
L	10.367811136565	L(r)(E,1)/r!
Ω	0.25912468411877	Real period
R	5.001362169247	Regulator
r	2	Rank of the group of rational points
S	0.99999999984638	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	52200i2 34800bg2 20880t2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 104400s2

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
+	-	+	-2	-2	-4	-6	-8	4	+	10	-2	0	4	8	6	-12	-12	12	-16	-2	-2	-6	0	10

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Quadratic twists for elliptic curve 104400s2

-4	-3	5
52200i2	34800bg2	20880t2

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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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