Cremona's table of elliptic curves

15210 = 2 · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	15210s	Isogeny class
Conductor	15210	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	856321481676960 = 25 · 38 · 5 · 138	Discriminant
Eigenvalues	2+ 3- 5-  2  4 13+ -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1296684,568650928]	[a1,a2,a3,a4,a6]
Generators	[-991:30155:1]	Generators of the group modulo torsion
j	68523370149961/243360	j-invariant
L	4.3802993200181	L(r)(E,1)/r!
Ω	0.43808911868372	Real period
R	2.4996622451952	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	121680ez2 5070m2 76050eq2 1170j2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 15210s2

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

---

Quadratic twists for elliptic curve 15210s2

-4	-3	5	13
121680ez2	5070m2	76050eq2	1170j2

---

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