Cremona's table of elliptic curves

10906 = 2 · 7 · 19 · 41

Field	Data	Notes
Atkin-Lehner	2- 7- 19+ 41-	Signs for the Atkin-Lehner involutions
Class	10906n	Isogeny class
Conductor	10906	Conductor
∏ cp	234	Product of Tamagawa factors cp
deg	4627584	Modular degree for the optimal curve
Δ	4892866455199744 = 213 · 79 · 192 · 41	Discriminant
Eigenvalues	2-  3 -3 7- -2  0  3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1385701839,-19853872365161]	[a1,a2,a3,a4,a6]
j	294261261066111246295755977110593/4892866455199744	j-invariant
L	5.7902586466559	L(r)(E,1)/r!
Ω	0.024744695071179	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	87248r1 98154z1 76342ba1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 10906n1

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
-	3	-3	-	-2	0	3	+	6	5	7	-4	-	1	-10	5	-10	-5	16	5	-4	13	2	-5	-1

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Quadratic twists for elliptic curve 10906n1

-4	-3	-7
87248r1	98154z1	76342ba1

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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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