Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	6555a	Isogeny class
Conductor	6555	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	23800	Modular degree for the optimal curve
Δ	-389219549371875 = -1 · 37 · 55 · 195 · 23	Discriminant
Eigenvalues	0 3+ 5+ -4 -1  5  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,14439,669746]	[a1,a2,a3,a4,a6]
j	332893245351919616/389219549371875	j-invariant
L	0.35654973853352	L(r)(E,1)/r!
Ω	0.35654973853352	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	104880ct1 19665t1 32775s1 124545bb1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555a1

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	+	+	-4	-1	5	0	+	-	-5	-2	-10	3	-9	-9	2	-1	0	-12	-8	8	-17	4	-4	14

---

Quadratic twists for elliptic curve 6555a1

-4	-3	5	-19
104880ct1	19665t1	32775s1	124545bb1

---

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