Cremona's table of elliptic curves

88200 = 2³ · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	88200eb	Isogeny class
Conductor	88200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2744515872000 = 28 · 36 · 53 · 76	Discriminant
Eigenvalues	2+ 3- 5- 7-  4  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12495,531650]	[a1,a2,a3,a4,a6]
j	78608	j-invariant
L	3.2401999216109	L(r)(E,1)/r!
Ω	0.81004996321989	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	9800bp2 88200im2 1800k2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 88200eb2

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	4	0	4	-2	-2	0	-4	2	6	6	-4	-12	10	-14	-8	8	16	-2	6	16

---

Quadratic twists for elliptic curve 88200eb2

-3	5	-7
9800bp2	88200im2	1800k2

---

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