Cremona's table of elliptic curves

39675 = 3 · 5² · 23²

Field	Data	Notes
Atkin-Lehner	3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	39675bh	Isogeny class
Conductor	39675	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	1216512	Modular degree for the optimal curve
Δ	-1.1397919185821E+19	Discriminant
Eigenvalues	-2 3- 5+  3 -2  2  5  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,392342,132179344]	[a1,a2,a3,a4,a6]
Generators	[5903:456262:1]	Generators of the group modulo torsion
j	2887553024/4927635	j-invariant
L	4.202902434833	L(r)(E,1)/r!
Ω	0.15521724647519	Real period
R	0.42308668679239	Regulator
r	1	Rank of the group of rational points
S	1.0000000000006	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	119025br1 7935c1 1725p1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 39675bh1

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	-	+	3	-2	2	5	2	-	-5	3	-7	-11	-8	-8	5	-1	8	-9	1	-10	0	15	0	-10

---

Quadratic twists for elliptic curve 39675bh1

-3	5	-23
119025br1	7935c1	1725p1

---

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