Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2- 23+	Signs for the Atkin-Lehner involutions
Class	1472h	Isogeny class
Conductor	1472	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	69337088 = 217 · 232	Discriminant
Eigenvalues	2-  0  0 -4  6  2  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-140,-496]	[a1,a2,a3,a4,a6]
j	2315250/529	j-invariant
L	1.4107097235552	L(r)(E,1)/r!
Ω	1.4107097235552	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	1472c2 368a2 13248bn2 36800cp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472h2

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	0	-4	6	2	6	-6	+	6	0	8	6	-2	8	8	4	4	2	8	6	-12	10	10	-18

---

Quadratic twists for elliptic curve 1472h2

-4	8	-3	5	-7	-23
1472c2	368a2	13248bn2	36800cp2	72128bb2	33856x2

---

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