Cremona's table of elliptic curves

525 = 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	525b	Isogeny class
Conductor	525	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	62015625 = 34 · 56 · 72	Discriminant
Eigenvalues	1 3+ 5+ 7-  4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-100,-125]	[a1,a2,a3,a4,a6]
j	7189057/3969	j-invariant
L	1.6139595394337	L(r)(E,1)/r!
Ω	1.6139595394337	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8400cd2 33600dd2 1575g2 21a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 525b2

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	+	+	-	4	2	6	4	0	-2	0	-6	2	4	0	-6	12	-2	-4	0	6	-16	12	-14	-18

---

Quadratic twists for elliptic curve 525b2

-4	8	-3	5	-7	-11	13
8400cd2	33600dd2	1575g2	21a1	3675j2	63525i2	88725h2

---

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