Cremona's table of elliptic curves

23700 = 2² · 3 · 5² · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 79-	Signs for the Atkin-Lehner involutions
Class	23700r	Isogeny class
Conductor	23700	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	-151656300000000 = -1 · 28 · 35 · 58 · 792	Discriminant
Eigenvalues	2- 3- 5-  1  0  1  6  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7333,637463]	[a1,a2,a3,a4,a6]
Generators	[74:711:1]	Generators of the group modulo torsion
j	-436142080/1516563	j-invariant
L	7.175333992488	L(r)(E,1)/r!
Ω	0.50616390222351	Real period
R	1.4175910136949	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	94800bw1 71100z1 23700e1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23700r1

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	1	6	5	-2	-4	-5	-10	-4	1	-12	-6	-6	1	3	-12	-14	-	10	12	-3

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Quadratic twists for elliptic curve 23700r1

-4	-3	5
94800bw1	71100z1	23700e1

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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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