Cremona's table of elliptic curves

2418 = 2 · 3 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+ 31+	Signs for the Atkin-Lehner involutions
Class	2418a	Isogeny class
Conductor	2418	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	440	Modular degree for the optimal curve
Δ	-2476032 = -1 · 211 · 3 · 13 · 31	Discriminant
Eigenvalues	2+ 3-  0 -3 -4 13+  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1,-76]	[a1,a2,a3,a4,a6]
j	-15625/2476032	j-invariant
L	1.177275597712	L(r)(E,1)/r!
Ω	1.177275597712	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	19344k1 77376g1 7254l1 60450cb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2418a1

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	-3	-4	+	3	2	4	2	+	2	3	10	-4	6	9	5	10	12	-13	-3	18	-2	-16

---

Quadratic twists for elliptic curve 2418a1

-4	8	-3	5	-7	13	-31
19344k1	77376g1	7254l1	60450cb1	118482r1	31434v1	74958g1

---

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