Cremona's table of elliptic curves

4921 = 7 · 19 · 37

Field	Data	Notes
Atkin-Lehner	7- 19- 37+	Signs for the Atkin-Lehner involutions
Class	4921b	Isogeny class
Conductor	4921	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	9360	Modular degree for the optimal curve
Δ	-877952898529 = -1 · 7 · 195 · 373	Discriminant
Eigenvalues	-1  2  3 7- -2 -6 -1 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9779,370858]	[a1,a2,a3,a4,a6]
Generators	[8:537:1]	Generators of the group modulo torsion
j	-103421260389441457/877952898529	j-invariant
L	3.9359639942787	L(r)(E,1)/r!
Ω	0.89223770521157	Real period
R	0.88226802595065	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	78736i1 44289l1 123025g1 34447e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4921b1

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
-1	2	3	-	-2	-6	-1	-	0	-9	3	+	-10	-1	-5	-6	11	-2	5	7	-8	0	3	-8	-2

---

Quadratic twists for elliptic curve 4921b1

-4	-3	5	-7	-19
78736i1	44289l1	123025g1	34447e1	93499i1

---

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