Cremona's table of elliptic curves

46512 = 2⁴ · 3² · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 17- 19+	Signs for the Atkin-Lehner involutions
Class	46512s	Isogeny class
Conductor	46512	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-645214464 = -1 · 28 · 33 · 173 · 19	Discriminant
Eigenvalues	2- 3+  3  1  0  2 17- 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-231,-1822]	[a1,a2,a3,a4,a6]
Generators	[146:51:8]	Generators of the group modulo torsion
j	-197222256/93347	j-invariant
L	8.1486143052384	L(r)(E,1)/r!
Ω	0.59872794803273	Real period
R	2.2683129936902	Regulator
r	1	Rank of the group of rational points
S	0.99999999999873	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11628b1 46512o2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 46512s1

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
-	+	3	1	0	2	-	+	-6	0	-2	2	-12	-2	-3	3	-12	14	-5	3	2	-2	9	-9	-7

---

Quadratic twists for elliptic curve 46512s1

-4	-3
11628b1	46512o2

---

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