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	15246p	Isogeny class
Conductor	15246	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	3993600	Modular degree for the optimal curve
Δ	-1.4276577781658E+25	Discriminant
Eigenvalues	2+ 3-  0 7- 11- -6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1824642,181793013012]	[a1,a2,a3,a4,a6]
j	-520203426765625/11054534935707648	j-invariant
L	1.1243054662819	L(r)(E,1)/r!
Ω	0.056215273314096	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121968dr1 5082ba1 106722cw1 1386j1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246p1

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	-	-	-6	4	-6	4	6	-2	10	-4	-8	6	10	0	2	-4	-16	-12	16	-2	6	-6

---

Quadratic twists for elliptic curve 15246p1

-4	-3	-7	-11
121968dr1	5082ba1	106722cw1	1386j1

---

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