Cremona's table of elliptic curves

6200 = 2³ · 5² · 31

Field	Data	Notes
Atkin-Lehner	2+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	6200b	Isogeny class
Conductor	6200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	-496000000 = -1 · 210 · 56 · 31	Discriminant
Eigenvalues	2+  2 5+  0  2 -4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,192,-388]	[a1,a2,a3,a4,a6]
Generators	[106:525:8]	Generators of the group modulo torsion
j	48668/31	j-invariant
L	5.4716277357703	L(r)(E,1)/r!
Ω	0.94966634063169	Real period
R	2.8808158727258	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	12400i1 49600l1 55800bp1 248b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6200b1

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

---

Quadratic twists for elliptic curve 6200b1

-4	8	-3	5
12400i1	49600l1	55800bp1	248b1

---

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