Cremona's table of elliptic curves

11270 = 2 · 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 23+	Signs for the Atkin-Lehner involutions
Class	11270j	Isogeny class
Conductor	11270	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-35070166883500 = -1 · 22 · 53 · 78 · 233	Discriminant
Eigenvalues	2- -2 5+ 7+  6 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,6124,-216644]	[a1,a2,a3,a4,a6]
j	4405959551/6083500	j-invariant
L	2.0838172735587	L(r)(E,1)/r!
Ω	0.34730287892645	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	90160bn2 101430bx2 56350a2 11270r2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11270j2

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	-4	3	2	+	9	-1	-7	-6	-1	-6	9	3	8	-4	15	14	-10	3	0	-7

---

Quadratic twists for elliptic curve 11270j2

-4	-3	5	-7
90160bn2	101430bx2	56350a2	11270r2

---

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