Cremona's table of elliptic curves

435 = 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	435a	Isogeny class
Conductor	435	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	-3915 = -1 · 33 · 5 · 29	Discriminant
Eigenvalues	0 3- 5+  2  3  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-11,11]	[a1,a2,a3,a4,a6]
j	-160989184/3915	j-invariant
L	1.4669389901877	L(r)(E,1)/r!
Ω	4.4008169705632	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	6960v1 27840bc1 1305f1 2175a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 435a1

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	-	+	2	3	2	0	2	3	+	8	-1	-3	-1	-6	-3	-12	8	14	-6	-7	-4	9	-6	11

---

Quadratic twists for elliptic curve 435a1

-4	8	-3	5	-7	-11	13	17	29
6960v1	27840bc1	1305f1	2175a1	21315h1	52635r1	73515n1	125715n1	12615a1

---

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