Cremona's table of elliptic curves

10920 = 2³ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	10920u	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6113802240 = 211 · 38 · 5 · 7 · 13	Discriminant
Eigenvalues	2- 3- 5- 7-  0 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-19440,-1049760]	[a1,a2,a3,a4,a6]
j	396738988420322/2985255	j-invariant
L	3.23454956822	L(r)(E,1)/r!
Ω	0.4043186960275	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840g4 87360l4 32760k4 54600a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920u3

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	4	-8	6	4	-2	-10	8	0	2	-4	14	4	0	10	0	12	-10	10

---

Quadratic twists for elliptic curve 10920u3

-4	8	-3	5	-7
21840g4	87360l4	32760k4	54600a4	76440br4

---

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