Cremona's table of elliptic curves

390 = 2 · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	390a	Isogeny class
Conductor	390	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	9360 = 24 · 32 · 5 · 13	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-13,13]	[a1,a2,a3,a4,a6]
Generators	[-2:7:1]	Generators of the group modulo torsion
j	273359449/9360	j-invariant
L	1.196677432117	L(r)(E,1)/r!
Ω	4.0725001282979	Real period
R	0.29384343632105	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3120u1 12480bi1 1170m1 1950w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 390a1

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
+	+	+	0	0	+	-6	0	-4	-10	0	-6	2	-4	0	-6	0	6	4	16	-2	0	4	-6	14

---

Quadratic twists for elliptic curve 390a1

-4	8	-3	5	-7	-11	13	17
3120u1	12480bi1	1170m1	1950w1	19110bh1	47190br1	5070q1	112710bi1

---

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