Cremona's table of elliptic curves

1430 = 2 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	1430c	Isogeny class
Conductor	1430	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1258400 = 25 · 52 · 112 · 13	Discriminant
Eigenvalues	2+  2 5-  4 11+ 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2217,39269]	[a1,a2,a3,a4,a6]
j	1205943158724121/1258400	j-invariant
L	2.2899063742623	L(r)(E,1)/r!
Ω	2.2899063742623	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	11440r2 45760m2 12870br2 7150s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430c2

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

---

Quadratic twists for elliptic curve 1430c2

-4	8	-3	5	-7	-11	13
11440r2	45760m2	12870br2	7150s2	70070f2	15730bd2	18590m2

---

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