Cremona's table of elliptic curves

15330 = 2 · 3 · 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 73+	Signs for the Atkin-Lehner involutions
Class	15330r	Isogeny class
Conductor	15330	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	644072105880 = 23 · 34 · 5 · 7 · 734	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4 -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-121071,16164189]	[a1,a2,a3,a4,a6]
Generators	[201:-90:1]	Generators of the group modulo torsion
j	196265662640945090929/644072105880	j-invariant
L	6.0242610794705	L(r)(E,1)/r!
Ω	0.79574038450199	Real period
R	2.5235454497473	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	122640cb4 45990bb4 76650bd4 107310ds4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 15330r4

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

---

Quadratic twists for elliptic curve 15330r4

-4	-3	5	-7
122640cb4	45990bb4	76650bd4	107310ds4

---

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