Cremona's table of elliptic curves

87120 = 2⁴ · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	87120ev	Isogeny class
Conductor	87120	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2.3234620457938E+19	Discriminant
Eigenvalues	2- 3- 5+ -4 11-  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27922323,-56789992622]	[a1,a2,a3,a4,a6]
Generators	[-3049:666:1] [6479:185130:1]	Generators of the group modulo torsion
j	455129268177961/4392300	j-invariant
L	9.4278228273422	L(r)(E,1)/r!
Ω	0.065676790199821	Real period
R	8.9717984836375	Regulator
r	2	Rank of the group of rational points
S	0.99999999997277	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10890q3 29040dq4 7920be3	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 87120ev4

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
-	-	+	-4	-	2	-2	-8	0	2	8	-10	-10	0	0	-14	-4	-14	4	8	-10	12	-4	6	-14

---

Quadratic twists for elliptic curve 87120ev4

-4	-3	-11
10890q3	29040dq4	7920be3

---

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