Cremona's table of elliptic curves

495 = 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	495a	Isogeny class
Conductor	495	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	5011875 = 36 · 54 · 11	Discriminant
Eigenvalues	-1 3- 5+  0 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-533,-4598]	[a1,a2,a3,a4,a6]
Generators	[-13:7:1]	Generators of the group modulo torsion
j	22930509321/6875	j-invariant
L	1.3104268429636	L(r)(E,1)/r!
Ω	0.99377768897778	Real period
R	1.3186317800227	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	7920y4 31680bh4 55a3 2475j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 495a3

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

---

Quadratic twists for elliptic curve 495a3

-4	8	-3	5	-7	-11	13
7920y4	31680bh4	55a3	2475j3	24255bv4	5445e4	83655t4

---

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