Cremona's table of elliptic curves

15180 = 2² · 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	15180h	Isogeny class
Conductor	15180	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-327318750000 = -1 · 24 · 32 · 58 · 11 · 232	Discriminant
Eigenvalues	2- 3+ 5- -2 11+  6  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1315,-20958]	[a1,a2,a3,a4,a6]
Generators	[74:690:1]	Generators of the group modulo torsion
j	15705460834304/20457421875	j-invariant
L	4.2737324364628	L(r)(E,1)/r!
Ω	0.51456673645705	Real period
R	1.0381871129799	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	60720de1 45540o1 75900s1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 15180h1

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

---

Quadratic twists for elliptic curve 15180h1

-4	-3	5
60720de1	45540o1	75900s1

---

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