Cremona's table of elliptic curves

4901 = 13² · 29

Field	Data	Notes
Atkin-Lehner	13+ 29+	Signs for the Atkin-Lehner involutions
Class	4901a	Isogeny class
Conductor	4901	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	5304	Modular degree for the optimal curve
Δ	23656190909 = 138 · 29	Discriminant
Eigenvalues	2  2 -3  0  2 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-732,2095]	[a1,a2,a3,a4,a6]
Generators	[-13496:24725:512]	Generators of the group modulo torsion
j	53248/29	j-invariant
L	8.2061303267419	L(r)(E,1)/r!
Ω	1.0453056594321	Real period
R	7.8504600570132	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	78416o1 44109y1 122525f1 4901b1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4901a1

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	2	-3	0	2	+	-6	2	-3	+	-2	4	-4	-6	-8	-2	9	14	-5	7	6	-10	-5	6	-6

---

Quadratic twists for elliptic curve 4901a1

-4	-3	5	13
78416o1	44109y1	122525f1	4901b1

---

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