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	39675bo	Isogeny class
Conductor	39675	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1376560288142578125 = -1 · 32 · 59 · 238	Discriminant
Eigenvalues	-1 3- 5-  0  0 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,257612,-25546483]	[a1,a2,a3,a4,a6]
j	6539203/4761	j-invariant
L	0.60730995657916	L(r)(E,1)/r!
Ω	0.15182748915982	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	119025cc2 39675s2 1725r2	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 39675bo2

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	-	-	0	0	-4	0	2	-	-2	-8	-10	-2	-4	0	0	-14	-6	-4	-6	-8	6	0	6	-6

---

Quadratic twists for elliptic curve 39675bo2

-3	5	-23
119025cc2	39675s2	1725r2

---

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