Cremona's table of elliptic curves

3480 = 2³ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	3480b	Isogeny class
Conductor	3480	Conductor
∏ cp	52	Product of Tamagawa factors cp
deg	8736	Modular degree for the optimal curve
Δ	-27187500000000 = -1 · 28 · 3 · 513 · 29	Discriminant
Eigenvalues	2+ 3+ 5-  2 -5  2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6385,320725]	[a1,a2,a3,a4,a6]
Generators	[345:-6250:1]	Generators of the group modulo torsion
j	-112469423174656/106201171875	j-invariant
L	3.2731629610984	L(r)(E,1)/r!
Ω	0.60842776045164	Real period
R	0.10345590002806	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6960s1 27840bi1 10440r1 17400bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3480b1

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	-5	2	4	-6	-5	-	0	-9	-5	-11	10	11	0	-8	2	-2	-11	4	-3	6	-1

---

Quadratic twists for elliptic curve 3480b1

-4	8	-3	5	29
6960s1	27840bi1	10440r1	17400bm1	100920bq1

---

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