Cremona's table of elliptic curves

11130 = 2 · 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 53+	Signs for the Atkin-Lehner involutions
Class	11130l	Isogeny class
Conductor	11130	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	995626517602500 = 22 · 310 · 54 · 74 · 532	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-44514,-3284288]	[a1,a2,a3,a4,a6]
Generators	[-130:621:1]	Generators of the group modulo torsion
j	9754377335041367449/995626517602500	j-invariant
L	3.8230350874539	L(r)(E,1)/r!
Ω	0.33084685053069	Real period
R	0.57776507186357	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	89040z2 33390bx2 55650bv2 77910n2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130l2

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

---

Quadratic twists for elliptic curve 11130l2

-4	-3	5	-7
89040z2	33390bx2	55650bv2	77910n2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations