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	15246d	Isogeny class
Conductor	15246	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	1650017742912 = 26 · 33 · 72 · 117	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  4  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3108,-24304]	[a1,a2,a3,a4,a6]
Generators	[-41:202:1]	Generators of the group modulo torsion
j	69426531/34496	j-invariant
L	3.4272068228083	L(r)(E,1)/r!
Ω	0.67302331126322	Real period
R	0.63653196803385	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	121968cs1 15246bc1 106722z1 1386f1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246d1

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

---

Quadratic twists for elliptic curve 15246d1

-4	-3	-7	-11
121968cs1	15246bc1	106722z1	1386f1

---

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