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	930d	Isogeny class
Conductor	930	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	-14760960000000 = -1 · 216 · 3 · 57 · 312	Discriminant
Eigenvalues	2+ 3+ 5-  2 -4 -4 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2238,181236]	[a1,a2,a3,a4,a6]
Generators	[-13:394:1]	Generators of the group modulo torsion
j	1238798620042199/14760960000000	j-invariant
L	1.7003818843924	L(r)(E,1)/r!
Ω	0.51798400829662	Real period
R	0.46895597910281	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	7440y1 29760ba1 2790w1 4650bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 930d1

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

---

Quadratic twists for elliptic curve 930d1

-4	8	-3	5	-7	-11	-31
7440y1	29760ba1	2790w1	4650bn1	45570be1	112530ch1	28830s1

---

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