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	11130bb	Isogeny class
Conductor	11130	Conductor
∏ cp	30	Product of Tamagawa factors cp
Δ	-6204374536500 = -1 · 22 · 35 · 53 · 73 · 533	Discriminant
Eigenvalues	2- 3- 5+ 7- -3 -1 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-141581,-20516955]	[a1,a2,a3,a4,a6]
j	-313862066777071180369/6204374536500	j-invariant
L	3.6918074238401	L(r)(E,1)/r!
Ω	0.12306024746134	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	89040bb2 33390v2 55650i2 77910bx2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130bb2

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
-	-	+	-	-3	-1	-6	2	3	0	2	2	6	-7	3	+	12	5	2	12	2	8	6	15	-10

---

Quadratic twists for elliptic curve 11130bb2

-4	-3	5	-7
89040bb2	33390v2	55650i2	77910bx2

---

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