Cremona's table of elliptic curves

5325 = 3 · 5² · 71

Field	Data	Notes
Atkin-Lehner	3+ 5- 71+	Signs for the Atkin-Lehner involutions
Class	5325c	Isogeny class
Conductor	5325	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	32016	Modular degree for the optimal curve
Δ	4177603560448125 = 323 · 54 · 71	Discriminant
Eigenvalues	-1 3+ 5- -2 -5  2 -5  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-87738,-9543894]	[a1,a2,a3,a4,a6]
j	119510811483499825/6684165696717	j-invariant
L	0.27836492661349	L(r)(E,1)/r!
Ω	0.27836492661349	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	85200dy1 15975w1 5325i1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 5325c1

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	-5	2	-5	5	-5	-2	0	1	-5	-1	8	-11	7	0	-2	+	-15	-1	-16	16	2

---

Quadratic twists for elliptic curve 5325c1

-4	-3	5
85200dy1	15975w1	5325i1

---

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