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	15246bb	Isogeny class
Conductor	15246	Conductor
∏ cp	126	Product of Tamagawa factors cp
deg	28224	Modular degree for the optimal curve
Δ	-5803132059648 = -1 · 221 · 33 · 7 · 114	Discriminant
Eigenvalues	2- 3+  0 7- 11-  5  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1475,-117565]	[a1,a2,a3,a4,a6]
j	-897199875/14680064	j-invariant
L	4.5594237434425	L(r)(E,1)/r!
Ω	0.32567312453161	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	121968cn1 15246c2 106722eq1 15246a1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246bb1

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	-	-	5	6	2	-3	-3	5	-4	9	-1	6	-6	9	5	-13	3	2	8	-3	3	-10

---

Quadratic twists for elliptic curve 15246bb1

-4	-3	-7	-11
121968cn1	15246c2	106722eq1	15246a1

---

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