Cremona's table of elliptic curves

10360 = 2³ · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 37+	Signs for the Atkin-Lehner involutions
Class	10360c	Isogeny class
Conductor	10360	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	5664	Modular degree for the optimal curve
Δ	-129955840 = -1 · 211 · 5 · 73 · 37	Discriminant
Eigenvalues	2+ -2 5- 7+  6 -3  8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-600,5488]	[a1,a2,a3,a4,a6]
j	-11683450802/63455	j-invariant
L	1.8610048814458	L(r)(E,1)/r!
Ω	1.8610048814458	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	20720f1 82880h1 93240bl1 51800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10360c1

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	-	+	6	-3	8	2	3	5	3	+	12	2	1	-9	2	12	-3	3	-9	2	0	-9	-10

---

Quadratic twists for elliptic curve 10360c1

-4	8	-3	5	-7
20720f1	82880h1	93240bl1	51800r1	72520c1

---

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