Cremona's table of elliptic curves

4025 = 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	4025b	Isogeny class
Conductor	4025	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-4862212578125 = -1 · 57 · 76 · 232	Discriminant
Eigenvalues	1  0 5+ 7-  2 -4  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3442,-130659]	[a1,a2,a3,a4,a6]
j	-288673724529/311181605	j-invariant
L	1.7935275655242	L(r)(E,1)/r!
Ω	0.29892126092069	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	64400bi2 36225bw2 805b2 28175c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4025b2

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

---

Quadratic twists for elliptic curve 4025b2

-4	-3	5	-7	-23
64400bi2	36225bw2	805b2	28175c2	92575c2

---

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