Cremona's table of elliptic curves

118080 = 2⁶ · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 41+	Signs for the Atkin-Lehner involutions
Class	118080bw	Isogeny class
Conductor	118080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-6075127536353280 = -1 · 216 · 38 · 5 · 414	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,14388,3690736]	[a1,a2,a3,a4,a6]
Generators	[-60:1616:1]	Generators of the group modulo torsion
j	6894734396/127159245	j-invariant
L	6.0808859326296	L(r)(E,1)/r!
Ω	0.31688944679441	Real period
R	4.7973244345124	Regulator
r	1	Rank of the group of rational points
S	0.99999999803413	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118080ey3 14760c4 39360ba3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 118080bw3

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
+	-	-	0	0	-2	-6	-8	0	-2	0	-6	+	12	0	2	4	2	-4	12	10	4	-12	6	14

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Quadratic twists for elliptic curve 118080bw3

-4	8	-3
118080ey3	14760c4	39360ba3

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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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