Cremona's table of elliptic curves

2535 = 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	2535j	Isogeny class
Conductor	2535	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-2079016875 = -1 · 39 · 54 · 132	Discriminant
Eigenvalues	0 3- 5-  1 -6 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,295,1109]	[a1,a2,a3,a4,a6]
Generators	[31:202:1]	Generators of the group modulo torsion
j	16742875136/12301875	j-invariant
L	3.3419803625514	L(r)(E,1)/r!
Ω	0.93642936391837	Real period
R	0.099134853546458	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	40560bq1 7605i1 12675b1 124215f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2535j1

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	-	-	1	-6	+	0	4	-6	-6	-5	-2	0	11	-6	0	-6	-1	-11	6	-5	11	-12	-12	-17

---

Quadratic twists for elliptic curve 2535j1

-4	-3	5	-7	13
40560bq1	7605i1	12675b1	124215f1	2535e1

---

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