Cremona's table of elliptic curves

1518 = 2 · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 23+	Signs for the Atkin-Lehner involutions
Class	1518q	Isogeny class
Conductor	1518	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	2409066 = 2 · 32 · 11 · 233	Discriminant
Eigenvalues	2- 3- -1  1 11-  1  7  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-66,-198]	[a1,a2,a3,a4,a6]
j	31824875809/2409066	j-invariant
L	3.365764830375	L(r)(E,1)/r!
Ω	1.6828824151875	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	12144s1 48576a1 4554g1 37950i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518q1

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
-	-	-1	1	-	1	7	0	+	-5	1	7	2	-2	13	-2	12	4	3	5	-6	-11	-14	4	-14

---

Quadratic twists for elliptic curve 1518q1

-4	8	-3	5	-7	-11	-23
12144s1	48576a1	4554g1	37950i1	74382bb1	16698p1	34914z1

---

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