Cremona's table of elliptic curves

10640 = 2⁴ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	10640h	Isogeny class
Conductor	10640	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-18247600 = -1 · 24 · 52 · 74 · 19	Discriminant
Eigenvalues	2+  2 5- 7- -4  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-75,350]	[a1,a2,a3,a4,a6]
j	-2955053056/1140475	j-invariant
L	4.0970172312302	L(r)(E,1)/r!
Ω	2.0485086156151	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5320c1 42560cn1 95760be1 53200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10640h1

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

---

Quadratic twists for elliptic curve 10640h1

-4	8	-3	5	-7
5320c1	42560cn1	95760be1	53200k1	74480f1

---

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