Cremona's table of elliptic curves

437 = 19 · 23

Field	Data	Notes
Atkin-Lehner	19- 23-	Signs for the Atkin-Lehner involutions
Class	437a	Isogeny class
Conductor	437	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-5316979 = -1 · 19 · 234	Discriminant
Eigenvalues	0  2 -1 -5 -1  0 -7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,19,100]	[a1,a2,a3,a4,a6]
Generators	[10:34:1]	Generators of the group modulo torsion
j	719323136/5316979	j-invariant
L	1.8940046258786	L(r)(E,1)/r!
Ω	1.7599083318976	Real period
R	0.2690487611699	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6992k1 27968i1 3933d1 10925d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 437a1

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	2	-1	-5	-1	0	-7	-	-	6	4	2	-2	-5	-3	-4	6	11	-16	-10	-7	4	4	-16	-4

---

Quadratic twists for elliptic curve 437a1

-4	8	-3	5	-7	-11	13	17	-19	-23
6992k1	27968i1	3933d1	10925d1	21413b1	52877a1	73853b1	126293c1	8303a1	10051a1

---

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