Cremona's table of elliptic curves

15246 = 2 · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	15246i	Isogeny class
Conductor	15246	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	126563860962 = 2 · 36 · 72 · 116	Discriminant
Eigenvalues	2+ 3-  0 7+ 11-  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-11457,474579]	[a1,a2,a3,a4,a6]
Generators	[45:198:1]	Generators of the group modulo torsion
j	128787625/98	j-invariant
L	3.6185139800371	L(r)(E,1)/r!
Ω	1.0347220900764	Real period
R	1.7485438915148	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	121968fl2 1694f2 106722cv2 126a2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246i2

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

---

Quadratic twists for elliptic curve 15246i2

-4	-3	-7	-11
121968fl2	1694f2	106722cv2	126a2

---

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