Cremona's table of elliptic curves

1802 = 2 · 17 · 53

Field	Data	Notes
Atkin-Lehner	2- 17+ 53+	Signs for the Atkin-Lehner involutions
Class	1802c	Isogeny class
Conductor	1802	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	245072 = 24 · 172 · 53	Discriminant
Eigenvalues	2-  2  0  4  0  2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4523,-118967]	[a1,a2,a3,a4,a6]
j	10233153213432625/245072	j-invariant
L	4.6572804970897	L(r)(E,1)/r!
Ω	0.58216006213621	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14416e2 57664g2 16218k2 45050e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1802c2

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

---

Quadratic twists for elliptic curve 1802c2

-4	8	-3	5	-7	17	53
14416e2	57664g2	16218k2	45050e2	88298v2	30634g2	95506c2

---

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