Cremona's table of elliptic curves

3978 = 2 · 3² · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+ 17-	Signs for the Atkin-Lehner involutions
Class	3978f	Isogeny class
Conductor	3978	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	5.0866680735584E+20	Discriminant
Eigenvalues	2+ 3- -4 -4  2 13+ 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-16879599,-26666341331]	[a1,a2,a3,a4,a6]
Generators	[-2355:5657:1]	Generators of the group modulo torsion
j	729596217166155478587889/697759680872204288	j-invariant
L	1.6812918027108	L(r)(E,1)/r!
Ω	0.074487595959515	Real period
R	2.2571433284336	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31824bh2 127296by2 442e2 99450dd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3978f2

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

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Quadratic twists for elliptic curve 3978f2

-4	8	-3	5	13	17
31824bh2	127296by2	442e2	99450dd2	51714y2	67626l2

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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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