Cremona's table of elliptic curves

8030 = 2 · 5 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 73-	Signs for the Atkin-Lehner involutions
Class	8030j	Isogeny class
Conductor	8030	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-416169122294750 = -1 · 2 · 53 · 11 · 736	Discriminant
Eigenvalues	2-  1 5- -1 11- -4 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-566245,-164054225]	[a1,a2,a3,a4,a6]
Generators	[1639740:20576065:1728]	Generators of the group modulo torsion
j	-20078760551186832688081/416169122294750	j-invariant
L	7.3517046955637	L(r)(E,1)/r!
Ω	0.087019767757043	Real period
R	4.6935087184184	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	64240r2 72270j2 40150d2 88330m2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 8030j2

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	-	-1	-	-4	-3	5	0	-9	-1	-7	0	8	-12	3	6	-13	-4	15	-	-10	0	-3	-10

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Quadratic twists for elliptic curve 8030j2

-4	-3	5	-11
64240r2	72270j2	40150d2	88330m2

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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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