Cremona's table of elliptic curves

930 = 2 · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	930a	Isogeny class
Conductor	930	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	658986840 = 23 · 312 · 5 · 31	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6628,204952]	[a1,a2,a3,a4,a6]
Generators	[47:-19:1]	Generators of the group modulo torsion
j	32208729120020809/658986840	j-invariant
L	1.5301618706694	L(r)(E,1)/r!
Ω	1.4909281319194	Real period
R	2.0526299529937	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	7440u3 29760bd4 2790z3 4650bi3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930a3

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	-4	6	2	-4	-4	2	+	-2	-6	-4	0	2	-4	-6	16	-12	-6	-16	-12	-18	-14

---

Quadratic twists for elliptic curve 930a3

-4	8	-3	5	-7	-11	-31
7440u3	29760bd4	2790z3	4650bi3	45570bm4	112530bp4	28830m4

---

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