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	1518f	Isogeny class
Conductor	1518	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-49741824 = -1 · 216 · 3 · 11 · 23	Discriminant
Eigenvalues	2+ 3+  2  0 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-69,-435]	[a1,a2,a3,a4,a6]
Generators	[345:670:27]	Generators of the group modulo torsion
j	-37159393753/49741824	j-invariant
L	2.0198636923892	L(r)(E,1)/r!
Ω	0.78771442666572	Real period
R	5.1284161467982	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12144bd1 48576bh1 4554z1 37950cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518f1

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	-	-2	-6	-4	-	-6	0	-2	6	-4	0	2	4	-2	8	0	-14	0	-4	6	-6

---

Quadratic twists for elliptic curve 1518f1

-4	8	-3	5	-7	-11	-23
12144bd1	48576bh1	4554z1	37950cs1	74382t1	16698bf1	34914f1

---

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