Cremona's table of elliptic curves

35280 = 2⁴ · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	35280cj	Isogeny class
Conductor	35280	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	98304	Modular degree for the optimal curve
Δ	-315118451133360 = -1 · 24 · 314 · 5 · 77	Discriminant
Eigenvalues	2+ 3- 5- 7-  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6762,-880481]	[a1,a2,a3,a4,a6]
j	-24918016/229635	j-invariant
L	3.6820711998154	L(r)(E,1)/r!
Ω	0.23012944998871	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17640bf1 11760y1 5040l1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 35280cj1

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

---

Quadratic twists for elliptic curve 35280cj1

-4	-3	-7
17640bf1	11760y1	5040l1

---

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