Cremona's table of elliptic curves

618 = 2 · 3 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 103-	Signs for the Atkin-Lehner involutions
Class	618c	Isogeny class
Conductor	618	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-26225448 = -1 · 23 · 3 · 1033	Discriminant
Eigenvalues	2+ 3-  0 -4 -3  2 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,54,196]	[a1,a2,a3,a4,a6]
Generators	[28:140:1]	Generators of the group modulo torsion
j	17881958375/26225448	j-invariant
L	1.7322241585865	L(r)(E,1)/r!
Ω	1.4344744191675	Real period
R	0.40252237693947	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	4944b2 19776e2 1854h2 15450w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 618c2

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	-4	-3	2	-6	-1	-9	9	-1	5	0	2	-6	-12	-12	8	14	-12	-16	2	12	3	-1

---

Quadratic twists for elliptic curve 618c2

-4	8	-3	5	-7	-11	13	-103
4944b2	19776e2	1854h2	15450w2	30282b2	74778bq2	104442bk2	63654a2

---

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