Cremona's table of elliptic curves

34848 = 2⁵ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+	Signs for the Atkin-Lehner involutions
Class	34848b	Isogeny class
Conductor	34848	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-107307307008 = -1 · 212 · 39 · 113	Discriminant
Eigenvalues	2+ 3+ -4  0 11+  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1188,0]	[a1,a2,a3,a4,a6]
Generators	[16:152:1]	Generators of the group modulo torsion
j	1728	j-invariant
L	3.8959249666006	L(r)(E,1)/r!
Ω	0.63161597812301	Real period
R	3.0840931052584	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848b2 69696dz1 34848bg2 34848bh2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848b2

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	0	+	4	-2	0	0	-10	0	-2	10	0	0	-4	0	12	0	0	-16	0	0	16	18

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Quadratic twists for elliptic curve 34848b2

-4	8	-3	-11
34848b2	69696dz1	34848bg2	34848bh2

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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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