Cremona's table of elliptic curves

1365 = 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	1365b	Isogeny class
Conductor	1365	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	18593645841225 = 312 · 52 · 72 · 134	Discriminant
Eigenvalues	-1 3+ 5- 7-  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9100,-265708]	[a1,a2,a3,a4,a6]
j	83339496416030401/18593645841225	j-invariant
L	0.99320564608121	L(r)(E,1)/r!
Ω	0.49660282304061	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	21840ch3 87360cl3 4095i4 6825h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1365b3

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	+	-	-	4	-	2	-4	0	-2	8	-2	-6	-4	0	-2	12	14	4	0	10	0	-12	-6	-14

---

Quadratic twists for elliptic curve 1365b3

-4	8	-3	5	-7	13
21840ch3	87360cl3	4095i4	6825h3	9555q4	17745d3

---

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