Cremona's table of elliptic curves

3458 = 2 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	3458c	Isogeny class
Conductor	3458	Conductor
∏ cp	54	Product of Tamagawa factors cp
Δ	-283619292728408 = -1 · 23 · 73 · 133 · 196	Discriminant
Eigenvalues	2+  1  0 7-  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,7704,-766674]	[a1,a2,a3,a4,a6]
j	50577058483418375/283619292728408	j-invariant
L	1.649942576193	L(r)(E,1)/r!
Ω	0.2749904293655	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	27664k2 110656o2 31122bd2 86450bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3458c2

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	-	3	-	-6	-	3	0	5	11	9	8	-9	6	0	-1	5	-6	11	-1	-6	6	-1

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Quadratic twists for elliptic curve 3458c2

-4	8	-3	5	-7	13	-19
27664k2	110656o2	31122bd2	86450bb2	24206b2	44954n2	65702x2

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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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