Cremona's table of elliptic curves

8970 = 2 · 3 · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+ 23+	Signs for the Atkin-Lehner involutions
Class	8970j	Isogeny class
Conductor	8970	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	48960	Modular degree for the optimal curve
Δ	-9757847370960 = -1 · 24 · 33 · 5 · 135 · 233	Discriminant
Eigenvalues	2- 3+ 5+  5 -5 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-11306,481799]	[a1,a2,a3,a4,a6]
j	-159828070411428769/9757847370960	j-invariant
L	2.8629537143059	L(r)(E,1)/r!
Ω	0.71573842857648	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	71760bs1 26910u1 44850bd1 116610r1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8970j1

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
-	+	+	5	-5	+	2	0	+	-4	3	10	-11	2	3	14	-14	14	-12	-8	-5	17	12	4	8

---

Quadratic twists for elliptic curve 8970j1

-4	-3	5	13
71760bs1	26910u1	44850bd1	116610r1

---

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