Cremona's table of elliptic curves

20400 = 2⁴ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	20400	Conductor
Count	8	Number of curves in isogeny class
Curves	20400bt1 20400bt2 20400bt3 20400bt4 20400bt5 20400bt6 20400bt7 20400bt8	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0 -4  2 17+ -4	Hecke eigenvalues for primes less than 20
L	0.70316900163061	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2550h 81600hu 61200ff 4080be	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 20400bt

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

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Quadratic twists for isogeny class 20400bt

-4	8	-3	5
2550h	81600hu	61200ff	4080be

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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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